The assumption can be right but perhaps he will not wait a long time enough like a long time with many rounds of playing from previous players until he takes action. It's basically the probability game is based on big sample, not small one, so even in theory it is right, in his practice it would turn to be quite wrong.
Exactly. Even if you played a million rounds, that doesn't guarantee that you will reach the expected payouts based on the slot game's RTP. The fewer the rounds, the bigger the variations you will experience in the RTP rates.
Let's say you are playing a 95% RTP slot and you hit a 200x payout in a relatively short amount of time. You just made way more than what the game was supposed to give back to you. It's the same as if you lost 100% of your money after 20 played rounds. In that case, the game took all of your money and not an amount remotely close to its RTP. Both cases (where you hit a big multiplier and lose everything) are more likely to happen than the game giving you back 95 coins on a 100 coin deposit.
Like you said, you have to consider a sample size of millions and tens of millions of rounds. A single player is unlikely to experience a slot game's true RTP in his entire lifetime.