Mainly I don't want them because I don't want a machine instantly making life or death judgements. It might be fine if it mostly informs a human who ultimately pulls the trigger, but having that failsafe is important in keeping machines from going on killing sprees.
I also want people to be held accountable when they do unjustified killings. AI weapons make it FAR too easy to simply pass off a killing as a "woopsie doodle." It's just not acceptable to say "The algorithm made a mistake, version 23 will do better".
I don't have a problem with the AI providing additional information to it's user, but when that's incorporated into a weapon it's a short distance from that to completely automating the killing.
That's why I'm completely against AI weapons.
Responsibility will always have to lie with the user, but if the weapons are more advanced and safer then why is that bad? I like that autonomous vehicles like Waymo are 10x safer then human drivers, even if a 'Machine' is making decisions.