If he a.) plays at stakes where he can lose over a million in a couple days and b.) bases his decision to play someone (especially another pro) on emotion and recent short term variance, it's pretty much guaranteed he will end up broke eventually unless he actually has many many millions (like possibly in the hundreds if we're talking about enough to cover the swings of heads up PLO games at those stakes with Gus Han…
This cannot possibly, possibly be true. The expected deviation goes as the square root of the sample size, which means that the percentage deviation goes as the inverse square root of the sample size, which means that if you play thousands of hands a day for a year, your deviation ought to be less than 1%.
Anything that persists over 100,000 samples is not luck.