I said after 5,000 games your results will begin to closely depict your winrate, not that it would 100% be correct. Variance can easily cause a winning player to have a breakeven stretch.
On top of that, you seem to be suggesting that the variance in my ROI is somehow attributed to an inherent "luck" factor of poker while ignoring the fact that the sample size ranges from micro stakes up to high stakes poker. My winrate is obviously going to vary between stakes because poker is a game of skill and the higher the limit, the more skilled the player pool.
FYI, it's also quite annoying to throw wikipedia pages explaining common psychological biases at me when you've already stated that you are basing most of your conclusions on "assumptions" since you aren't well acquainted with the subject matter. I'm well aware of everything you're warning me about but you also seem biased against poker. I've shown you a sample of over 50,000 tournaments. That's over 1.5 MILLION hands of poker. It blows my mind that you seem to be keen on ignoring empirical evidence and mathematical analysis here, but if you want to ignore that, so be it.
But, yes, indeed, good luck to you as well.