Disagree completely, there are no Tigers in Detroit, Bears in Chicago, Rams in LA, Pirates in Pittsburgh, etc.. a great brand is a great brand, regardless of local ties.. sure, it can certainly work, but often feels too forced and cheesy.. Especially more modern examples.. maybe i feel better about some of the older ones because i'm more used to them, but either way, i don't think it's a critical part to building a strong identity/brand.. in fact, i'd say it's often more of a hindrance..
also, some might argue that the Lakers' brand is one of the strongest in all of pro sports - and it fits your "absurd" definition.. so, even then i don't mind it, because it still contributes to the team's identity by linking it to its past..
at the end of the day, i think if a brand is executed well with colors/logos/uniforms, and has some success, it'll gain fan support and be a strong identity.. i don't necessarily think regional character plays a significant role in that..