Okay, I shot some ILS's Saturday and even did a T'N'G out of one of them. The AutoTaxi+ did not pop up on my tablet that I was using for the Plates. (Set in Full Screen Plate mode.) Now that I think about it, I don't know if it could have popped up if it wanted to in the Full Screen Plate mode. But if it could have, then it seems like AutoTaxi+ is okay there.
But it was still "falsing" on my on departure. And I noticed that if I switched Map Modes (from Sectional to Vector), it reset things so that AutoTaxi+ popped up again.
So again, if there could be some kind of additional "circuitry," such that, once dismissed, AutoTaxi+ cannot pop up again until after you're airborne (and landed again), that would be nice.