Also your example gives a good picture, even though on a micro-stakes table the chance seems still relatively high that someone might call with 44 after a 3bet.
This is true, but now the Villain with 44 is making a long term losing play, because he is calling to setmine without getting anywhere near the 20 times implied odds, that Collin talk about in the video. And whenever you induce people to make mistakes, you profit. Maybe not this one time, if he actually flops his set, but 7 out of 8 times, he wont, and he will usually have to fold to your C-bet, even when his 44 is the best hand, because your AK has missed the flop.
To return to your question "dont we want worse hands to call preflop" the answer is, that yes we do, but only when we have a very strong hand, and we want them to pay to see a flop. Also with surpricingly many hands our long term profit per hand is actually going to be less than 1,5BB, which mean, that even for a cash game with no antes it is actually a better outcome, if everyone folds, and we pick up the blinds uncontested.
In my PT4 database I have around 370k cash game hands, which I played on
pokerstars. And running filters for starting hands the only hands, where I have won more than 150 BB / 100 on average are JJ+, and AJs+. Even AKo has only made me 100 BB / 100 hands, and as for AJs and AQs the results should be taken with a grain of salt due to sample size issues even over this many hands.
So actually even when we enter the pot with hands as strong as TT or AKo, we stand to win more money on average, if everyone fold, and we just pick up the blinds, than if we get action. To be fair this does also include spots, where we get unfavourable action like getting 3-bet or 4-bet. If we look only at spots, where a player in the blinds called our open raise, the results would probably be a little better.
But even so when we raise preflop the vast majority of the time we are actually
bluffing in the sense, that we stand to win more money or chips, if everyone fold, than if we get action.
I think, this comes as a surprice to most poker players, who have not done this kind of analysis already. Intuitively we lust after action and getting to stack someone. But especially in the mid and late stage of a tournament, stealing blinds and winning other small pots without showdown is really the key to accumulating chips.