But the thing is there are gamblers that can't stop playing even if they have won a lot already and think they can make more out of their winnings but end up losing in the end.
You are assuming that they are losing to prove that they lose.
Just because they are wagering does not mean that they are going to lose. Just because they are greedy and continue to bet does not mean that they will lose. And if you are considering only one player, then the variance is high and you will deviate from the mean of 0.
Basically, your argument boils down to this: human emotions cause greed, which means a higher wagered amount, resulting in the loss of money.
This may be true with games that have house edge, but it's not true in the case of zero-edge games. And not only that, but you are also assuming that the casino has enough bankroll to cover that of the player.
From my cursory reading of your conversations, I would agree with actmyname. The fact is that indeed there are those that will get greedy but probably there would equally be those that win and takes home the money thus resulting to probably an equal gain and losses for the casino. Mathematically speaking, this is indeed a 0 end game since we are rolling an infinite number of games and this means that the closer we reach infinity the more likely the results will be 0 in this case. Hence, indeed a casino with 0% house edge is just wasting their time and server hosting.