Re: Hypothetical New Rule
Well, at a high level, I don't think your strategy would change too much if you're already basing many of your decisions on pot size. When the pot hand wins, you'd want to loosen up a bit in the next hand since you'll be getting good return on a larger variety of hands. Drawing hands would go up in value, offsuit hands down. Action would increase.
Play against the "pot" hand seems trivial as it's just a random hand and isn't betting itself.
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