I believe that if having a relationship with your brother benefits you in no way whatsoever, and in turn actually just adds negativity instead, then there really is no point in having one with him is there?

We can forgive our abusers without subjecting ourselves to having to have tea with them once a week. Forgivemess is for our benefit anyway, not their's. My story is very different from yours although my older "brother" is also the sociopathic unremorseful character in my story, but he never even bothered to fake apologize. I have since cut him out of my life for good and I've never felt more liberated.

For me, having inner peace is way better than family peace.