[maurile]

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Fair enough, but if the game is actually +EV for the casino, then there should be a finite bankroll capable of defeating the unlimited Martingale bankroll, no?

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Yes, any finite bankroll will defeat the Martingale. A finite bankroll on the part of the casino means a finite betting limit -- so the player will be unable to keep doubling his bets past a certain point.

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If not, then you need to conclude that the Martingale played with an unlimited bankroll actually does overcome the house edge, regardless of its size.

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With literally infinite bankrolls, neither party has an edge. If either side has a finite bankroll, then the house will have an edge (assuming a game like roulette where the house has an edge on each individual trial).