The only time I can remember where "something bad" really did matter was a few years ago where it came out that a college pitcher, expected to go in the first round, had some juvenile criminal conviction for sexually abusing a minor. He actually had complied with the law but MLB stayed so far away from him that I think he ended up playing in Korea, IIRC. Can't remember his name and don't feel like looking it up. But absent that, MLB has happily paid players with history of DV, drug abuse, cheating scandels, etc. Bauer will pitch in the majors again.