Let's just re-iterate your point and mine.
Your point is that a fake tower "can" impersonate a carrier tower. I don't think anyone on the planet doubts that point, and clearly I don't doubt it either.
I'm simply saying that *every* article that mentions the topic says that the fake towers are *unnamed*. You seem to want to refute that, so, we end up with the fact that we all agree that a fake tower certainly definitely clearly "can" impersonate a carrier tower.
Yet, I can't find a single reference that says that they actually do that (while I can find plenty of references that say the opposite).
Can you?