It doesn't take all that long to run the simulations, but collecting the data afterwards and putting it all together takes quite a while. This is how much I've done so far, and it exactly supports (proves) my hypothesis.
For 100,000 simulated hands...
AAA flop:
#AA dealt - 0 (0%)
#Ax dealt - 40,674 (40.64%)
AA9 flop:
#AA dealt - 840 (.84%)
#Ax dealt - 77,133 (77.13%)
Please note how with less Aces on the flop, there are now more Aces available to be in people's hole cards (2 instead of 1), and therefore the likelihood of at least one of our opponents holding at least one Ace increases. Exactly like common sense tells us.
Please let me know if you'd like me to continue with A92 and so on... I will, but surely this is enough FINALLY to prove my point, yes?