Some relationships are toxic.

I don't know enough to comment because I don't quite know how "bad" their bad points are. For instance, my boyfriend slurps every time he's drinking coffee and it annoys the hell out of me.

But if you're talking about bad points as in, someone who is abusive or controlling or who makes you lose a part of your identity - that is not a bad point I'd "over look" no matter how good the good times may be.