Do we have wealth redistribution in gambling, i think the place of that is limited and from analysis of how money rotates from the wealthy to the poor is somewhat misleading since you mentioned that the only money transfers from the wealthy to thebpoor is through government tax collections, for me that is far from what it is since gambling could be based of player's against each other and only in house game's give the casino the complete control and advantage
Government tax both the gambler and the casino it self and in the end, government will always be in profits via taxationand other fee's. .