Fair comment. Don't get me wrong; so do I, but not down to such detail as in post #19 etc. On short finals on a gusty day; that is probably over-thinking it, somewhat !
(A lot of pilots do not understand GS Mini, but I made sure I do, and how it helps us, but I don't need to know any equations to understand it, just what it does. )
The OP asks:
.......So your on final, Normal Law, AP off. Wing tips in a gust. Does the FBW flight control system stop the gust induced bank(because you didn't command it)? And does it actually attempt to return to its previous bank? Now you don't wait for all of this. You correct with sidestick. Are you augmenting the flight controls? Or does the plane sense your input and completely give you back full control? In other words...the plane with full sidestick is a 15 degree/sec roll rate. You correct with half sidestick, so what would be the roll rate command if the system is also responding to a gust?
I read that as not asking for a realy deep explanation of the computer programming; but more about how the FBW reacts and the relative authority of the FBW and the side-stick, and whether the side-stick inputs cancel the FBW inputs.
From memory, so please correct me; the FBW can command 25° roll rate, the side-stick 15°.
It's a fantastic system though; I absolutely love it 