Far Cry 6 had a lot bigger problems before the female protag even factored into the equation. If we were blaming on that then the New Dawn game that came out right before was far more egregious with its weirdly colored black twin/lesbians on the cover.

Ubisoft is too stupid to try and go full woke. They tried to have a "white colonist abusing a poor brown nation" angle for FC4, but accidentally made the white guy the most trustable and likable to the point where most people came away thinking the natives deserve oppression. Same with FC5 where after a whole game making the Peggies seem deluded and evil, oops they were 100% right all along. I'm told WatchDogs has similar "were they trying to be woke or parodying it? Its impossible to tell" issues as well.

EA's games you are right on though, that was the big sinker for the outset.