You're right.
Though anti-theist is an umbrella term that includes opposition to religion, not just belief in god. Which includes believing religions are harmful. As it isn't a regulated religious body, the term is rather loose and not stringently defined. I personally believe it's better to distinguish the faithful from the non-worshipful.
As opposed to dytheism, which typically holds god may be, or is, malicious and should still be worshiped. Though dytheism is not exclusively faithful, the term connotes faith more often than simple agreement god is evil.