Well, it does make a difference if that goal is invoked to get them to stop doing something illegal or to get them to stop doing something legal.
No, as I keep saying, I don’t see any way (for a layperson) to independently tell for certain whether the AG has positive intent. I’m not assuming that she does, but I’m not just taking your word for it that she doesn’t.
I certainly do see how the practice of AGs sending cease-and-desist letters is open to potential abuse. What you haven’t demonstrated—as opposed to just asserted—is whether or not such abuse is actually being committed in this case.
As a non-lawyer myself, I try to be pretty conservative in estimating what non-lawyers can be confident of understanding correctly about legal issues. YMMV.