Someone fired from all their jobs is probably going to be a menace later in some form or fashion.
Someone who ended all their relationships on bad terms is going to end on bad terms with you.
Strong starters/non-finishers are going to start strong but likely won't be able to close it out without extra help later... which you might be oblivious to, because they'd started so strongly.
Track records don't lie. Unless you're really good at spotting diamonds in the rough, don't grab someone with a bad track record for an important role in your business and life. I've learned this one the hard way too many times. I still get tempted with, "Wow, this guy/girl is so amazing, the problem must've been the other people..."
I'm trying to not do that any more. Once? Quite possibly a fluke. Twice? Maybe... Three times? That's a track record. Also, people will always say they've changed. It's probably a bad idea to be the first person to test out whether it's real or not.