Not necessarily. FOX became popular with Middle America by claiming that every other network had a liberal bias. They still do this in fact and still claim they're the only ones that cover stories that were actually broken by other networks.
FOX Sports can easily provide more coverage of sports teams that don't get talked about on ESPN. There's a perceived Northeast bias with ESPN. For the most part, they only cover the big market teams (Boston, New York and Dallas). They cover the "popular" teams. FOX Sports can get A LOT of viewers by simply talking about teams in Detroit, Cleveland, Atlanta, Jacksonville, Baltimore, Seattle, Minnesota, Ohio and so on.
It's the same strategy that FOX News employed - talk about stories that nobody else is talking about. SportsCenter sucks and it needs a formidable opponent. FS1 is it.
That said, I don't think FS1, as a sports channel, can go around bashing ESPN all the time to get ratings the way FOX News bashes the rest of the media and claims they're the only ones who cover stories that the other networks actually broke.