I play both rebel and BH, it has nothing to do with being caught, especially now not with jail times finally fixed. It's the fact that BH is too powerful for what it is. In some ways BH is more powerful than cops. There is no RP that comes from BH, literally none. It's "I HAVE YOUR BOUNTY I HAVE YOUR BOUNTY HANDS UP HANDS UP" and that's it, the most you're going to get after that is a little bit of shit talk. With cops, at least you can explain your charges and they are required to RP.
It allows for a different play style but it's ridiculous that BH was allowed to be criminals. This was a major flaw of the BH update. If you're going to bounty hunt then you should only be able to hunt bounties and have to stay within the law. Having criminal BHs that have little consequence ( I.E not being sent straight to jail for abusing BH license like back in the day ) is just a horrible idea. If you play BH then you should be going for bounties and if you want to break laws then you should be sent straight to jail. If you want to go commit crimes and rob people then the game should pretty much be forcing you to play rebel.