Actually, I think what you’ll find is that you’ve over-complicated the issue.
I may have used the wrong term when I said short. We’ve established that the wheel base on a Brompton is at least as long as a normal bike - maybe longer than some. I absolutely concede that point.
Let's start with where I should have started.
I made an initial claim about the positioning of the levers. They're sub-optimal in my opinion. If you have to rotate your wrist to access them - up or down - then when you need them in a hurry, they may not be available to you as quickly as you'd like. Yes you'd get used them, in the same way you get used to two levers to achieve 6 gears. But you also quickly forget. I've not been commuting for over a year, so when I took my Brompton out the other day I'd completely forgotten what each lever did. Especially as they're switched over from a normal bike where you'd expect to find the cassette shifter on the right and the chainrings on the left.
That's a diversion however.
I then said, actually you could get away with a steeper angle because your arms meet the bars at a steeper angle on a standard Brompton. Now, I didn't say the word standard, but that's what I meant and it's taken on a level of importance in your last post. If my assessment is null and void because I switched out one component, then your session with a bike fitter is equally null and void, because you say your bike was heavily modified. More so, because it's further from the norm.
Now I made a statement, which you wanted to disprove - and in part you did that, because you've proven that a Brompton's wheelbase is at least as long as road bike. Probably shorter than many modern MTBs, but that's an irrelevant measurement. That helps the stability of the bike and not the comfort or riding position of the rider. Not in and of itself anyway. Because everything else is dependent on the geometry of the bike and the rider.
The reason I oversimplified it, is because I was only interested in finding out one measurement. What's commonly referred to as saddle to bar reach, but I'd prefer the less technical term of arse-to-palm. The reason I don't like S2B reach is that it's measured from the front of the saddle, not where your arse goes. Some saddles are longer than others. But also, it's normally measured to the clamp - so doesn't take into account how forward your bars are. So in the diagram you posted above that measurement could well be similar on both bikes. But as road cyclists rarely use the tops (it's not 1984) it's useless for comparison.
So A2P as I shall refer to it now is an odd measurement because that's a result of everything else, which is crucial in this argument, but in itself is not of any importance in assessing the correct riding position for a rider.
Now, when I had a bike fit on my Giant - not on a jig (and not by someone who's written a book on the subject) - we started with my cleats, then saddle height and fore/aft position, flexibility etc etc. then worked out where my bars should be. So that's my default position.
I did have the MTB (and a Dahon Matrix), but I didn't have all the other bikes at that time. But that's the position I've tried to replicate.
And it's impossible. That A2P position of where my hands are on the bars on the Brompton compared to where they are on the Giant is impossible to replicate with standard Brompton components. For me. That's why I knew I wanted to fit bar ends and why I had to go for an H-type to allow the bike to fold with bar-ends fitted.
But you're right, an S type has a different curved stem which appears to put the clamp a whole 16mm in front of the one on a H type.
Now you've made a massive assumption that I know nothing about the subject of bike fitting. I'm not an expert, but I'm not a novice either. I'll admit, it's often a dangerous combination - as Neil deGrasse Tyson says, "One of the great challenges in life is knowing enough about a subject to think you're right, but not enough about a subject to know you're wrong."
But I've been following
Neil Stanbury (arguably the go to guy for bike fitting expertise at the minute) and using his tips to see what I can do. In particular, I had my cleats set up the way most people do - mid way between big toe and little toe, but he recommends going further back. That has a knock on effect on seat height and position and then reach...
To that end, you spent years tinkering with your various bikes
then had it checked to find out it was correct. Whereas I had one bike set up first to be correct and then me tinkering and getting mine to replicate the one I've already had assessed is somehow less valuable.
But here's what I do know. At 5' 11" I'm slightly above average height for a male in the UK. I know that me and a 5'11" bloke stood next to me could have vastly different set ups. My thigh bones are quite long for instance.
So it is possible, that if you're shorter than me that you could achieve the same position on your Brompton that you would on a road bike. You didn't mention a road bike as one of your other bikes, but I can only assume you've got one - as why else would you post a picture comparing a Brompton to a road bike.
I don’t want to put words in your mouth, but what you seem to be claiming is that out the box, your mate with her fancy jig could put every rider in the world in the same riding position as she would if she was measuring them for a road bike.
What I gleaned from the pdf you sent, however, is that the crucial measurement for her is the 90 degree angle between back and arm and that most city bikes are too short to achieve this - out the box. Presumably a consultation with her is not cheap, so most people just live with this.
But let's say we use that argument to assess the relative positions of the bikes you posted above:
If my road bike is correctly set up to achieve the 90 degree back/arm position on the road bike hoods. to achieve the upper body relationship on the Brompton the bars would
have to be nearer and higher. Ergo, the bike is shorter in a horizontal plane, but the effective reach is the same. So one of those bikes isn't correct.
But transposing that image onto the picture you posted above to prove it: if the road bike was set up for someone using the 90 degree method, then in order for them to be 'correct' on the Brompton with a bar that is in a vertical plane above the grips means that their hands would be waaaaay above the 10cm difference your mate recommends.
I'd also like to see how she'd fit someone like
Conor Dunne who, at 6'8" was the tallest rider in the Peloton and currently rides a 62cm Pinarello. The problem with Bromptons is that they are only one size frame. And because of the fold, there's very little adjustment to be made to the bars to increase reach. Over the years, I've seen some people in very strange riding positions on Bromptons. The most unusual was someone on a very old bike which looked to be a M type with flat bars. He was easily 6'4" and it appeared to all intents and purposes to be riding along almost vertically. It was as if he was sat on a wall and trying to lift a child onto it.
Now...
All that said, as I mentioned earlier, it's a pointless comparison for a number of reasons.
Road bikes and folding bikes are designed to do different things. Folding bikes are essentially compromised from the outset as they have another task to perform. Out and out aerodynamics aren't that important on a folder - certainly not for most people. So I'd imagine it's possible to set people up on a Brompton and make sure they're comfortable and don't suffer excessive back pain. But it will be much more upright than they would be on a road bike.
Secondly, the argument originally centred around brake levers and road bikes don't have brakes on the tops. Mountain bikes do. Hybrid bikes do, so that would have been a better comparison. As I mentioned in my not-very-scientific test there's not that much difference between the two when you compare those bikes side by side. Certainly with a shorter stem I could probably get my MTB to be very close to the Brompton.
I can't prove this, but I imagine more modern bikes might actually be shorter, because the riders I see today seem to be more upright. in the 90's XC was still a thing and MTBs were set up much more like road bikes - arse up, head down.
The reason for my test was not to be absolute proof. As you say, too few measurements, It was literally a case of 'really? I'm not sure I believe that, let's have a check'.
So what's the upshot of all this? I'd really have to be convinced you could set up a factory spec Brompton to replicate the ideal riding position on a road bike. It might work for shorter people. It certainly didn't work for me, but I'm not all people.
However, I will concede that a modern flat bar bike could be within a gnat's c*ck of being the same cockpit length as a Brompton. But many of those would be longer wheelbase and slacker gemetry.
All of which leads back to my original statement that the brakes shouldn't be set up like that. It looks like you could pull those with your thumbs.
For anyone wanting to be able to rotate them a little further into the optimal position, there are multiple versions of nipple extenders which give a few extra mm clearance to allow for a more correct positioning of the levers - even rotating M/H/P bars forward a bit if necessary.
Something like this: