I fancy doing a stop test also, same road, same speed, brakes on, red tyres vs new tyres - see how far I go (in a staight line this time)
So, would that be on a damp road again ...? It is perfectly possible to lock your wheels up, skid and fall off on a straight, damp road if you overdo your braking!
You didn't fall off because your tyres were no good - you fell off because your riding was no good for the conditions and the same thing could happen in your brake test.
I think that you would be better off spending your time practising your bike handling skills. When I was learning to ride as a child I used to ride up and down the cinder track to a local club. I used to deliberately lock up the back wheel so I could get used to controlling rear wheel skids on its loose surface. (Don't even think about doing the same for the front wheel ... there are very few people who can recover when their front wheel goes from under them!)
I got to try out my bike handling very early in my Yorkshire riding 'career' when traffic lights at the foot of a steep local descent changed back to red after an unexpectedly short period on green. (The lights are on-demand only in that direction and give priority to traffic on the A646 below, but I didn't know that at the time.) The road surface was damp and I had not factored that in either! My emergency braking led to a rear wheel slide which I managed to get under control and I came to a stop just in time. I think that I would have gone down if it were not for all those skid sessions as a child.