A Less Obvious Martingale Fallacy

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What matters is who's rack the money is in at any point in time.

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I still don't see why if each individual player comes out 1 unit ahead at the end of a series, and you extend them out to infinity, you think the casino will win in the end.

If this were true, then why put a table limit at all? Why not let people keep doubling the bets?

Are you saying that it would be too risky for a real casino to allow someone to do this?

Wouldn't that contradict what was said earlier about them making more money when more money is wagered?

There must be a reason for table limits. Obviously EV isn't everything.