that's because one of the actual seminole tribal organizations has its hand in the branding for fsu. they get a significant cut of all merchandise and consult on everything the marketing department for the sports programs does. if i'm not mistaken the guy who portrays osceola for the team is always an actual member of the tribe, too.  the thing with the redskins name and logo has never made sense because for most of the history of the native peoples who treated civilly with americans and the colonial powers before them, that word was essentially the preferred direct translation of the word they themselves as a coalition used to refer to the general population of native peoples, not just those with close cultural ties to the groups to which a given speaker belonged. this is even reflected to this day in the name of the state of oklahoma, because a variety of peoples with different languages and cultures were all displaced to that territory and forced to share it. by all means, if they decide retrospectively that that period and that language should be left behind, that's perfectly fine, but they should at least be consistent and start from the highest level and work down.  but, of course, that's a harder sell, and most of that community wouldn't be happy with that. it's much easier for a coalition of token representation natives making caricatures of themselves and white bleeding hearts to peer pressure sports teams into making changes that aren't even wanted and that most natives believe are completely ancillary issues if they believe they matter at all.  almost any place in this country that has an "indian" name is actually taken from a guess or general description of the relevant geography by a guide who didn't live there. the names these peoples are known by are broadly the same, few are known by the name they call themselves in their own languages.
United States