"A lot" is going to be a mighty big number in this case, though. In some networks it will surely be prohibitively large. But even if the latency is predictable enough for that not to be the case, what real world system is going to let someone make that many failed authentication requests without doing something about it? You might be better just trying to brute force it.

The trouble with hypothetical security questions is that it's so difficult to conceive a scenario where you have a deliberate vulnerability that you want someone to see, yet no other implausible aspects that will throw off anyone capable of seeing it. I am reminded of a murder mystery party I once went to with a group of mathematicians, programmers, and other logical people. When we got to the end of the evening and the true murderer was revealed, I think the majority of the participants had long ago ruled out that suspect on the basis of one of several subtle deductions from the clues provided, none of which had apparently been intended or considered by the authors of the scenario. Instead we were supposed to have ignored all the minor inconsistencies in clues and ambiguities in phrasing, and just gone for the person with the flashing neon sign over their head in the first place...