There are many push/fold charts that have been calculated which claim to be optimal in a simplified version of (no limit texas holdem) where only push/fold is possible.
So wouldn't always either folding or pushing with a certain range be an optimal strategy (in the sense of EV>=0 against any other strategy)? Because it would force your opponent(s) to play something very similar to a push/fold game.
Would this work in general? If not, would this still work for heads up no limit holdem? And if not, why would an optimal strategy in general need calling or checking or non-all in betting?