This is true, what I believe before was the more losing I am the more I am near in the winning part which was not really true. I tried different strategies in dice game and what I realize is that you would only be profitable in long term if you have huge amount of bankroll, a strict strategy and at the same time a very low starting bet which was impossible and if you are going to win the profit will be way too small. They only way you can only win in provably fair games is by being lucky.
Though honestly, I find some players in crash game become profitable with their strategy I'm not just sure how much is their bankroll and I think it might be a combination of strategy and luck.
In the long run, it doesn't matter whether you have a huge bankroll or a very small one. The result will be the same because sooner or later, the casino will take your deposit anyway due to the house edge. The only way to avoid this in the long run is to stop in time, especially if you win a big prize.