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I agree with your read on large OOP 4-bets, but your reaction to them is way off. You're giving up a bunch of equity by not getting AI pf since most tag's are going to cf the flop if they miss once you flat a large 4-bet because they'll put you on QQ+ that isn't folding. So unless you balance this by flatting 4 bets with weak hands IP to take away the pot on non A/K flops (which I think is awful as well), then flatting pf is giving up a bunch of equity. Does this make sense?
Oh and I agree that Browerkid, you, is a very solid player, I disagree with you about this point though.
I'm having trouble forming my argument in my head so forgive me if I'm not entirely clear. Okay, so the 4-bettor in this case should have JJ+, AK, AQ and air.
If he has KK/AA then calling should be more profitable then shoving because you can get away from King / Ace flops and stack your opponent when a queen flops.
If he has JJ and air then the difference between calling / shoving should be pretty close to neutral. While calling enables JJ to flop a set it also puts them in a position where they may get stacked on like a 10,5,4 flop (I know our hand looks strong but I think that JJ stacks off on these flops just as often as it flops sets). Same goes with air.
AQ/AK: Now this is where this hand really becomes important because AK takes up a large portion of his range. You are right that you lose equity by not getting it in when the flop comes Q high or less, but don't you
also gain a lot when the flop does come A / K and you can safely fold? Furthermore, if he has AQ there is a chance the hand could play out like brower / proposition's. If you add in the fact that AK may be bluffing some % of the time on non A / K flops and you may be able to bluff an ace high flop if he has KK, I think this is a winning play.
Edit: I don't think I'm absolutely right and actually have never played QQ this way but I thought about the hand some last night and it kind of made sense.