I think you fell for a common misunderstanding:
Fly by wire ≠ flight control augmentation
It is - in the first place - another method to get the pilots input out to the control surface just like cables or pushrods. Just not mechanical but electric/digital.
If you want to alter the pilot input for whatever reason it is way easier with digital signals ...
The AIM is not regulatory, just best practices approved by the FAA. You should do what the AIM says, but as PIC you are free to ignore it.
The FARs are regulatory, so as long as you don't violate them, what you're doing is legal. You must do what the FARs say (unless you have an emergency, of course).
In the case of pattern entry, other pilots are ...