[excession]

'the jacks would be better, but if they each had chips left, which was the case here, the ace-queen suited was better...'

that seems to be going a lot further than just saying that AQs player 'has profitable strategies available' - in effect you're trying to prove mathematically that (a) AQs OOP in a re-raised pot when you aren't the re-raiser is better than (b) having JJ in position in a re-raised pot when you are the re-raiser. The trouble is empirically that this isn't the case, as I'm sure all our experience and PT stats would clearly demonstrate..so something is wrong..

Further you're not taking into account number of players, reads, betting history, actual position or stack sizes...so any NL player is immediately suspicious that you simply don't have enough information in the system to draw any relevant conclusions