This is really interesting. Sorry to hijack but I'd like to discuss the bit about 4-betting AK here. Chris said that you should not 4-bet AK if you aren't prepared to stack TPTK. At first glance, it seems that if villain will only call or shove AK/KK+ that you should not 4-bet AK, because it's basically a bluff. But what about when we raise AT on the button? I'm folding to most 3-bets here and it doesn't fold out much worse so it's not a great bluffing hand. But it gives us fold equity against hands that have value against us, and the AK is a huge example of that. Especially if villain is "solid", he could be 3-betting this light, or even just have a range as wide as 99+/AJ+/KQ. I don't have Pokerstove on this computer but if we use that range plus some bluffs, 4-betting this is definitely profitable. But again it doesn't make much sense, as 4-bet bluffing AK is the same as 4-bet bluffing 56 and with a hand with showdown value like AK we don't want to be bluffing with it. So I think I agree with Chris here. The difference between the two examples though, this one and raising AT on the button, is that there are a lot more calls from the blinds and a lot more showdown value with AT against the hands that call.
Anyway, I think I agree with Chris. I wasn't sure when I started the post and maybe I confused people more than helped them, but at least now I think I understand. The major difference is that in a 4-bet pot where AK/KK+ are the only hands calling (pretty much only place we don't want to stack AK preflop or when we hit TPTK), AK has no showdown value and AT does against the hands that call it from a preflop button raise. Especially for 3 and 4-bets where we aren't getting a ton of flat calls from worse, we want to do it with the top of our range for value and the bottom of our range as bluffs.
Although actually why would we use the bottom of our range as bluffs? Shouldn't we make it more situational? I've heard this a lot and it makes sense in pots we're pondering calling or bluffing, but here we should be bluffing the hands that do well when flat called. Since we predict getting flat called almost never (this hand is the exception, mostly it's fold or push), is there anything wrong with 4-betting AK here as a bluff? I don't believe we should here but if we have someone labelled as someone who will not play for stacks with less than KK+/AK but will 3-bet light why not bluff 4-bet here with AK? If we don't plan on showing it down what's wrong with 4-betting AK as a bluff rather than folding it?