Seems everyone has a theory on this, much like a/holes everone has one, well I did the fairly obvious and tested all this on the road, so it's not a theory, feel free to try it.
Same highway with a 1/2 mile long fairly steep hill, the engine locked in third no power mode ! OK (there is no hold in gear variance) the car simply runs out of puff and starts to slow at the top of the hill, extra throttle does nothing, OK ? same hill same car but with power mode on, it will happily hold speed (and rpm) up the hill, plus it will overtake another car up that hill, (remember always stuck in third) and the rpm does not vary, the power does.
So then what did it do ? added more fuel = more power, it did not alter rpm, the same car on the flat would increase rpm without power mode (scratch one theory), yet with power mode the car would pull hard up the hill and would accelerate if required, that's what it's for, it does not hold or alter the gear changes whatsoever, remember I was stuck in third gear or top gear as 4th is near a .78 - 1 overdrive, not a 1 - 1 ratio
Very similar to the old Z1B kawa 900, they will do 115 in third easy, but in 4th they shat themself and in 5th do stuff all, your lucky to hit 125 mph, same bike with extractors ? no difference just more noise, however with a moddest dyna jet kit (jets only) the same engine will get to 150 mph easy, same rpm, the only changes simply add more fuel = more power, same engine.
My Triumph 900 speed triple had trouble winding out in top (that's @ 200+ kph) for beginners, it was changed to a stage 3 dyna jet kit, (slides and all jets) it instantly hit the rev limiter in "every" gear the only difference was more fuel, + a massive power increase, it will hit 9500 limiter in top gear NP, that's exactly 255 kph for learners (bouncing of the limiter) OK so what was changed ? more fuel, pretty simple, it ain't rocket science, remember the only thing that was changed is the amount of fuel it was given.
Test your commo up a long hill "without" moving the throttle, it will definitely slow, but with power mode it will (should) hold speed as the engine works harder plus it should increase speed if needed, but please lock it in third so there is no chance of slipping up to o/d and also don't tramp it so it kicks back to 2nd.
It's all about fuel, not revs or gear changes, but heh try to overtake someone without and then with power mode (in third), the difference is quite substantial, and doing say 100 + the revs don't alter that much between say 100 -115 compared to the vehicle speed, against the rev difference in 1st & 2nd gear.
What the heh, try it in o/d, same same but don't let it kick back down, the old eco has more power than some really give credit for, especially when it's really asked for it..
But then again the V8 kinda blows em away pretty easy....in any gear, I lit it up unce in 1st at "full" throttle just to see what would really happen, quite impressive for a grey old grandad, my foot slipped officer, honest.