I have a few question.
Now I know nothing about American Football, so I don't know how important the Redskins are as a team.
But how much of the media's focus on the team are because of the perceived offensive name? How would a name change effect the Redskins. Would they simply become something of a ignored team or are they important enough, that there would still be focus on them?
As others have said, the NFL as a whole is hugely popular in the US, and there are only 32 teams, so they all get their share of attention. Washington, DC is a big market, so they'll get plenty of attention regardless, even though the team isn't very good right now.