400bhp
Guru
Leaving all the silly childish innuendo aside, I think it probably makes chuff all difference unless you are at the very top of the game where it 'might' have a tiny impact that could be the difference between a 1st or 2nd place in the sprint for the finish line in a race.
For most (and by most I mean 99.9% of the cycling population) it will make no difference, but could hugely affect bike comfort, which will in a roundabout way have an effect on performance. So a 'stiffer' bike may actually have a negative impact.
I say all this assuming we are not including bikes that are so uselessly soggy that the brakes will rub during periods of intense effort (and obviously a set of suitable wheels will be needed too), we aren't including such bikes are we?
Pretty much this. A couple of other points:
I wonder if the mounting of the bike on a static trainer means the effect is over egged? The trainer effectively channels the force the only way out it knows, which is kinetic energy through the back wheel. In the real world, some of that energy could actually be absorbed through you alternate leg for example?
As per later on in the thread, there will be some loss through kinetic energy in the sideways movement. Think of Newton's cradle.
In my head I think where there may be an advantage in a flex frame is on rougher surfaces, where some dampening effect might be of benefit.