IMO there are two definitions of "bogus title." The first is a title where most of the polls select a team as national champion, but their selection of said team as #1 is controversial for some reason(s). The second is a title where very few polls, or an obscure poll(s), selects a team as a national champion, and said team decides that is good enough and claims a title that year.
BYU's is the first definition. Tennessee 1967, UCF 2017, a bunch of Alabama's claims, and many others are the second definition.
In the first definition, it is more the pollsters themselves that take heat for the outcome. After all, if every poll or most polls say you're #1, it's kind of dumb not to claim it. In the second definition, it is the school that takes heat for the outcome - not many people are saying you're #1, but you claim it anyway because this one guy said so.