but for each A that becomes available he is slightly more likely to have AA and even more likely to have AK.

With 3 aces in the deck there are 3 combinations of AA but 12 combinations of AK. with 4 aces in the deck there 6 combos of AA and 16 combos of AK.

Also, we are gaining a J instead which restricts the combos of JJ from 6 to 3 so the JJ Vs AA part cancels anyway.

So really the only difference is 4 more combos of folding hands for every AK, AQ type hand he has in his range.... isnt it?