You don't think villain has AK in his range at all? He is opening from UTG/HJ and facing 3bet from SB; tight players do not 4bet AK here that often in my opinion. As Ariel mentioned, 22 is less likely for him to have than 77, because of the pref action. Maybe sometimes he gives up with 88 on the flop already too. There are 1 combo of AKs and 5 combos AKo left. Lets assume with AK he plays 2 combos out of 6 like this. Then he needs to play 2 combos of AQ this way and we have a break even call here against his "value" range. Its worth to notice that there is more possible AQ hands. More opportunities for him to play AQ like this than AK, even tho its a shitty play. Assuming his range is 2 combos AK, 2 combos AQ, every combo of 77 and 88 (leaving 22 out): Our equity is 28,6% when pot odds are 26%. If we think he could have more wide range, including rest of the sets and FDs, its a bit different. We need him to have 4-5 flush draw combos if he could have all the set of 22 here for example. But anyways my point was; adding AK to his range changes our equity. And I think its quite possible that he could have AK here.
Looking back at this, we can argue about if villain can have AK (he should not) but it doesn't matter. Even if villain can have some combos of AK it does very little to change the way we should construct our ranges.
