Earlier quoted context omitted.
I don't think it is analysts that make such a call.
I don't know anything about how they target their victim, but I am assuming the have very little time between seeing the victim and deciding to execute him/her/them. So I suspect an algorithm makes the call.
You can legitimately criticize a lot about the program, but it's not understaffed. At some level the military likes to retain "person in the loop" on things where automation is technically more appropriate, as it's a way to train people for other roles later -- i.e. pilots who eventually become USAF top brass.
My problem is with the over-use of drones in operations where we'd otherwise not get involved (Yemen, etc.). Drones themselves probably centralize decision making with more senior people, and the cost of not taking a shot is just having to wait for the next one, so unless it's a shot in support of a unit already on the ground, theoretically drones will make the military more restrained in the shots it takes. If there are friendly forces on the ground nearby, you end up with things like the "Reuters Journalist/Collateral Murder" situation -- a lower level of evidence to support a military decision than you'd ideally have.