Flutie is a terrible example. That Bills team went to the playoffs which is all fans want. You are taking stats from a different era of football and they don't help either.
Peterman was a late round pick like TT. As was outlined on this site before preseason even begun, Peterman will have little opportunity to take the Bills job. He is a rookie behind Taylor and if TT failed to impress a new bigger, better prospect would be drafted, perhaps whiter, perhaps blacker.
If TT tore the league up he would have solidified his own spot and ensured Peterman a seat on the bench for future years. That is the life of a late round QB prospect. This is how the QB position is viewed, if you aren't getting the job done teams attempt to bring in someone better. Color is just an excuse, white/black if you are not good then look behind you because that's where your replacement is sitting.
Unless you put a choke hold on the starting position like Brady did then as a late round QB prospect you will spend your entire career silencing doubters and looking behind you. That's the life in the NFL.
The doubt was created by where the QB was drafted not by the color of his skin.