Pretty sure you got most of your answer on facebook, but just so it is fresh on here as well, and sorta added into archive for future people wondering the same:
In general, FPS changes between bb weights. Heavier the bb, lower the FPS. Lighter the bb, higher FPS. But with a stock gun, the energy output is (or should be) the same, no matter the bb weight. So with a lighter bb traveling with a faster fps than a heavier bb, they both have the same energy behind them, measured in joules. Joules factor in the weight of the bb as well, not just the speed.
A properly done R-hop should be able to be used with any bb weight, no overhopping with the hop turned all the way off. But what you heard is more so what it works best with. R-hops really shine in performance (again, if done well) with heavier (.28+) bbs. Even with lighter bbs, results would/should be much better than the stock configuration.
As for R-hops or any hop modifications changing FPS, depending on the system, there is potential for it to go both ways, up or down. Again: depending on the system. And more specifically the volume ratios behind the bb(cylinder and dead space in the nozzle/cylinder head) and in front (barrel volume).
Basically, for most stock guns(assuming proper voluming), turning the hop up, up, will decrease the FPS, as it is adding friction to the bb to give it the backspin. In a traditional hop up bucking/mound/nub, this is pretty much momentarily. With R-hops, since they have extended contact with the bb, it takes a little longer. Nothing substantial, but still a factor. During that time, the air is passing around the bb as well. So long as the air is still moving before the bb leaves the barrel, it will accelerate the bb.
The ideal volume ratios change with different bb weights, barrel lengths and diameters. So with enough science/calculations, you can tune your gun perfectly to the bb weight you run.
Instances where the FPS would increase with hop up applied, would be when the system is over volume, meaning more air than needed behind the bb. (This plays into joule creep, but that's some science for another day) Over volume systems often don't have the best precision accuracy due to the air is still accelerating when the bb leaves the barrel, thus potentially causing turbulence.
And for FPS to decrease when hop up is applied, would be in a stock or undervolumed setup.
Just understand, FPS and power output are 2 different things, measured differently factoring in different things:
FPS=measured speed
Power output=measured speed FACTORING IN the weight of the item being propelled.
If I missed anything, or am incorrect on something, please let me know. This is all what I have learned over the years and gathered from personal experience as well as research. Always want to make sure I am up to date and not spreading false info.