No but if the humans in the loop trust the algorithm so much, they're more like executive agents of the algorithm than the ones making the decisions.

Just because you don't automate the step of actually launching the missile doesn't mean a machine can't be the originator of the order.

No. Predator / Reaper drones are remotely piloted via satcoms link by a crew of two or three, typically pilot / sensor/ weapon operator. They are not autonomous with the exception of auto-pilot functions. The crew are typically embedded in a larger HQ where there may be political / legal cells to advise.

If the target list is wrong it won’t help the targets but the human in the loop may help to avoid blowing up a school accidentally, depending on the amount of collateral damage that can be accepted for a given target.