You're right, a cbet has no fold equity versus TT+. We probably don't have any fold equity versus AK, either. That's kinda one of the main points as to why I think the preflop play is losing so much. The other point is that we probably don't get paid by TT-QQ on A or K-hi flops.
On the first point though: We're a 42% preflop dog versus the villain's range. If we can never take an aggressive action to get villain to fold off his equity, then all we've accomplished by the min-raise is make the pot slightly bigger when we're an equity dog.
Making the pot bigger when we're behind is BAD if we can't get at least some fold equity preflop or some fold equity later in the hand. Worse still: Villain can force us to fold OUR equity, as shown in this hand. So we won't even get to realize that measly 42%, necessarily.

Id image either way we play this the ev is close.

EV depends on Villain strat obviously. If Villain's strategy is to donk jam his entire range on every non A-K-hi board, and check-fold TT-QQ on Axx or Kxx boards, then our preflop line with AK is turbo losing. Our range holds its EV because we just call down with AA-QQ facing a jam. But that's not relevant to the question of how to max exploit versus the opponent.

I'm repeating myself now, so I'll stop spamming the thread.

One clarification I would offer on the 30% rule: as I’ve heard it, usually the 30% is in reference to the effective stack in the hand. The reasoning being that once you cross that threshold you start being priced in to calling a jam with the worst hands in your range and end up having no raise/folds, so you’re better off just jamming yourself. I think it originated a while back when there was more focus on the value/bluff delineation but it’s still a good rule of thumb imo.

I only skimmed the thread but i do think this configuration can be a bit trickier wrt preflop sizing than some others do (although mostly if it were to occur in a tough game). A bunch of our good hands would really like to 4b here to shut out the players behind who (I think?) we are deep with (esp given the price they will be getting to call), but 1) it will be very difficult to 4b to a size where we can r/f vs sb and 2) if HJ is good we’d rather not have to jam 250bb+ since his flatting range vs our open will be narrow and include some slow plays. These problems mainly happen when the other players are good and sb is 3b wider, but I think worth mentioning bc it’s the type of spot where the 30% rule can be difficult to apply (need to assess vs multiple stack sizes and adjust for better odds you will get from dead money). Vs the described villains/ranges here I’d just rip it though.

+1

It got tricky because the other villain stacks are around 500, and the 3bettor had a short stack. My conclusion: you can play this hand multiple ways, none ideal.