I'm looking at the EV difference between PIO's mixed solutions (Bet AQ and AJ half the time on an A82r flop, check the other half) and how I think most players spread their range (bet AQ all the time and check AJ all the time).
With a pot of 75, the EV in the first case is 39.7. In the second it's 36.9. I guess this is due to PIO knowing exactly what our strategy is? So, for instance, if we never bet AJ (or JJ) on that flop, then a J on the turn can't improve our hand and PIO knows that. The reason solvers use a lot of mixed strategies for most of their hand combos then is exactly for this reason - board coverage on later streets and keeping their clairvoyant opponent in the dark?
Having said that, would the shown EV difference matter in actual play? Unless your breathing opponent knows exactly which hands you bet and which you check - and knows exactly how to use that knowledge - it shouldn't matter, right? So as long as we're roughly using the GTO ratios of betting/checking it won't matter with which exact hands we do it?
I'm asking mainly because I'm looking for some pratical shortcuts to implement the solutions into my game. If I know I need 3 combos of sets in each of my check/calling. betting and check/raising ranges, I'd rather work with a rule like "check/call the highest flop card (here A, so X/call all AAs), bet the middle card and check/raise the low card" than one that says to use one combo of each set in all three ranges.