[jtr]

Happy to agree to disagree on the value of the OP's educational story. But I wanted to query this part:

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2) When looking at data do the math right - it's not always an average you should take over the hand range. Also fairly obvious but I hardly have seen ever this considered in most of hand analysys I've read


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Could you be more specific? Are you referring simply to the fact that the correct procedure is to take a weighted average of the expectation against each of the opponent's possible holdings (weighted by their relative probabilities obviously). Or are you trying to say something more profound?

Because I think you're just muddying the waters here. It is always an average you should take over the hand range.