In the question I was clearly asking about the relative EV, not the absolute EV, and no one ever showed any sign of being confused, so all of this is really unnecessary.
For people who are following along in Mathematics of Poker, you'll notice that betting T has a negative EV when using ex-showdown EV, and this correlates to a showdown EV that's negative when betting by looking at the difference between the profit of betting and of checking.
I'm sure you'll get a lot out of studying the games in this thread. Best of luck.
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