Are schizoids asocial or antisocial?

I guess I've heard schizoids are supposed to be asocial. But what if one leans towards more the side of being antisocial? Can this be the schizoids in a some what spectrum between asocial and antisocial or is antisocial simply nothing to do with schizoids/SPD whatsoever ever

I think the same person can have traits of both, I know he had his brain messed with but I’d say Ted Kazinsky fit the bill for an anti-social schizoid. In general tho I’d say it’s rare, they are sort of opposite reactions to living circumstances. The schizoid pits up a wall and doesn’t trust anyone and is too afraid to let anyone close the anti social or psychopath becomes aggressive, dominating, a bully a conniver and a liar.

I guess a schizoid pulls away and build barriers to protect, the psychopath knocks other people’s barriers down and takes advantage. A schizoids parents were probably a exibitionist narcissist or a psychopath and left the child with no defenses other than to dissociate and detach

Neither nor necessarily. In most cases it's just than social quality matters more than quantity. And that's a normal social behaviour to unnormal social circumstances. Neurotypic people mostly don't get that. Only when you start compensating at the cost of others (egoism, being rude, sadism etc.) then you start being asocial. And humans beings being anti-social are not the humans we came from.