It really depends on how mean the mean Stacy is. I wouldn't mind a little abuse as long as it is what I like to call "Loving abuse" aka abuse that stems from loving too hard (like jealousy for example, not like I'm the type of guy women would be worried of losing, but hypothetically).
So let's say some giga stacy has some mental issues and insecurities, she genuinely loves me and would never cheat on me or leave me, but sometimes her mental issues get the best of her and she ends up screaming insults at me or maybe even hitting me, although nothing too serious, just a light slap. When she comes back to her senses, she apologizes and cries and promises not to do it again (although we both now that's a lie) and then tries to compensate by taking me to a nice restaurant. The rest of the time she just acts like a normal loving gf. If this is the type of mean Stacy that we are talking about, then I would more than willingly put up with the abuse.
if however the Stacy is some sadist who just enjoyes abusing me and puts no effort into improving herself and our relationship, then I would prefer the nice Becky.
To be perfectly honest with you I think the ideal relationship need to be at least a little bit abusive. I don't want a relationship where everything is pretty colors all the time. I might regret saying this one day, but that's how I feel at the moment of writing this. If she never gets jealous and controlling then how am I supposed to believe that she actually likes me? Anyways, maybe my mind is just messed up from growing up in an abusive house, but it is the truth that I want a little abuse in my hypothetical relationship.