Once the frame flex energy has been expended, it cannot all be returned to the rider, however some of it can.
Tendons act like springs, prove this by darwing both feet together and jumping vertically just once, and see how far you reach.
Now jump up and down on the spot a few times and measure your peak leap.
You will find you exceed the single leap, and this is partly because when you land, your tendons, such as the achilles, stretch to absorb the impact and on subsequent leaps this energy can be reused, assisisting your muscles.
The timing is important, if you are not properly warmd up you can cause yourslef lots of damage, if you kick too hard you can cause lots of damage, and if you leap too late, the stored energy will be dissipated before you can reuse it.
A certain amount of flex in a frame is desirable, this help absorb some of the imperfections in road surfce and helps give the rider some ‘feel’ as to what the bicycle is doing, which can be vital in downhill mountain biking or on short circuit road racing(criteriums).
On longer events frame flex helps, too stiff a frame is tiring.
An example of how frame flex helps a bicycle track better when cornering hard in my personal experience.
Forks usually have a curve in the blades, and this allows them to flex in a certain axis, and this helps them ride road surfaces better, one fram I had came with dead straight forks(a trend which has become common among racers).
When I was desceding on country roads which are often not of the best quality, I would find that on fast sweeping bends those straight forks were so stiff that they would cause the bicycle to ‘crab’ sideways putting me off the optimum line round. Turning in to counter this seemed to make the crabbing worse and made the rear wheel skip sideways too.
As soon as I changed to curved fork blades, everything was fine.
If you look at pro cyclists you will see that althought their forks are straight, they are raked quite a lot, that is they are further away from the vertical than say the curved fork blades, and I strongly suspect straght blade machines also have a longer wheelbase,
gotta go for now windows i just about to crash yet again!!!