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Yes, but. Blinds. You neglect to include these in your calculations. An unexploitable strategy is such that your opponent cannot pick a % of hands that will be profitable against you in the long run.
An unexploitable strategy changes with effective stack sizes, blind increases etc... The point is if you are push folding the correct % of hands then the most profitable way an opponent can play is by playing the exact same strategy and any other strategy will not be as optimal as this.
So, if your opponent is push folding in an unexploitable manner then your optimal strategy is to play his strategy. And, I think this would make you both break even in the long run...
The point you raise seems intuitive -> If we have deep enough stacks then push/fold is indeed ridiculous as the only cards we could ever play would be aces essentially as we would only ever be called by aces (if the stacks were large enough this would make sense as stolen blinds and times you were ahead would not make up for the times you got called and were behind) so a non push/fold strategy makes sense although it would be necessarily exploitable.
Anyway, your % of hands that you push/call would increase as effective stacks decreased and I think this strategy only works well with sub 20BB effective stacks which is pretty much a Super Turbo from the get go. I wrote this fairly quick so it may not make any sense but I will look at it laterz.
Ciao
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