That seems to be the crux of your argument, but I think it's flawed. "Skill" players have a pretty small edge and tend to make small gains. The biggest winners are "luck" players who got lucky. You don't make huge wins taking advantage of the 1% bonus...

From what RHavar has said, apparently the pool of "skill" players is pretty small. The "luck" players wouldn't notice if the "skill" players went away altogether. It wouldn't affect their experience at all, other than that they wouldn't be losing quite as fast.

Currently the "luck" player losses are being split between the house and the "skill" players. If the skill aspect is removed then the "luck" players lose more slowly, but 100% of their losses go to the house instead of being split. Eventually they will still tend to lose their whole deposit. It will take twice as long as before, but the house will end up with it all.

So it's win/win: the house makes more profit (because it isn't sharing the spoils with the skill players) and the luck players get to play twice as long per deposit. It's a losing proposition for the skill players, but there aren't many of those anyway.