Interesting. But what do we do once the river hits and we miss our draw? Assuming we're in position, do we fire one more bullet? After all, our hand does have showdown value. Occasionally we'll get called down with something such as AJ (in the example you used) and other times we might encourage a low to mid pp to fold, or perhaps third button. I like the way you're connecting these thoughts together to try and make a theorem, but I'm curious how betting this turn, instead of taking the free card, affects the rate at which we bluff the river (especially when our bluff might occasionally be a value bet.)