well it's kind of like the difference between your original formulation of the ISF theorem and your revision on it

your original formulation would say "FUCK! we have KK, AA, AK in our range and he doesn't, we have more nut hands! BARREL!"
but in your revised version it's more like "by calling this flop OOP villain basically defined his hand as a Kx combination or TT-JJ so the frequency of him folding the turn is not going to be high, and while we're more likely to hit the flop, our range on the flop is wider than his range to continue past the flop"

so like it's not about who has the nuts more often, it's about whose hand range has a higher equity including air