The distinction is that a teleprompter should only be used when one is performing a script. One reads their "lines" from the teleprompter versus memorizing it. Then, there are times when a person is supposed to speak spontaneously in response to a question or situation. It's this latter situation that is the issue as KH wants to appear as speaking off the cuff, but almost always uses a teleprompter to keep her on script. On those rare occasions when she has been allowed to do so by the campaign, it's word salad city.
No one has a problem with teleprompters. It's the reliance on them that is the issue. And more importantly, it's the use of teleprompters in inappropriate situations and the implied lack of ability to speak without them. And if all you can do is read a script . . . . . .