When we check river, we don't have TT and AA anymore because it's absurd to not take what value we can from that spot. We're going to look like JJ-KK when we check river, and villain could find a bluff against this perceived range. Sure we do miss value when we check river with AK/AQ and villain checks back a worse ace, but he might even bet something like A5s for value.

I think we can mostly disregard QJ seeing as villain didn't raise the turn, plus we block it and he definitely doesn't have QJ hearts, so it looks like he has exclusively Ax JTs and draws, maybe KJ hearts.

Betting AQ on river is thin value to say the least, we're targeting worse Ax and maybe JTs while expecting his air to fold, but when we make it small he's more likely to call anything with showdown value.