When we win money, we break this scheme. In the same way it is broken by theft, robbery, or taxes. If money is obtained for nothing, it loses its value.
I don't get it. Winning money from gambling has its value. We are on a platform that gave us a chance to win cash; it's been the system ever since you have invested money, time, and effort. Money won from gambling has its value.
I think that the value in gambling has a direct relationship with risk. If we agree than in a bank deposit you deserve interests because liquidity and fungibility have value (and while you maintain that deposit you can't spend or move that money), I think that it makes sense to say that when you win after gambling you get the value of the risk you overcame.