Making power takes fuel. Getting a lot of power from a twin-turbo V6 is possible. More air in the charge also allows more fuel. You also won't get economy out of it under those conditions. The current Ecoboost uses both direct and port fuel injection. I'm not sure what you mean by "forced injection". I have heard of "forced induction", but not "forced injection".
If you're putting more fuel in, then you either have to somehow improve the amount of air in the charge to maintain the air:fuel, or you'll run rich.
Correct; forced induction.... not injection.
"Running rich" to me is 10-ish AFR. Very atypical to ever see this but it has its' place... talk to the Hellcat guys who play with their motors.
"Richer mixture" to me is 12 to 14 AFR... typical of any OEM map at wide-open-throttle... for the reason you stated (more air, more fuel, more power).
A complete burn can only happen at stoichiometric... 14.7 AFR.... therefore OEM's try to maintain stoich.
If a 14 AFR can accommodate wide-open-throttle without knock, OEM's would prefer that because, well, less fuel is being used and the burn is cleaner.
If knock or combustion temps are high, one of the levers that can be pulled is to richen the mixture... not to the point of 10-ish AFR, but enough to make the engine happy.
Bottom line is that engine mapping may very well be the most complex part of any vehicle these days. Seriously.
All I am saying is that octane affects mapping, which in turn affects economy, and that's why I believe it's within the realm of possibility to link octane to economy.
I'm also open to the possibility of God and space aliens