If the question was "Does Their Fan Base Think the Buffalo Bills are the Dumbest Franchise in Sports?" the answer would be yes.
Because the there are some concerns with Allen and his accuracy that could potentially cause him to fail, the majority of the fan base is absolutely certain he's going to be a bust. While he may end up a wasted pick, it's far from being set in stone. The same with Rosen. He may be great or he may be another Cutler. Who knows?
There is this mentality that comes from past failures that whoever is running the team is an idiot.