Hold on, before you jump on me for asking something ridiculously idiotic...
I was specifically thinking of the tendency for people to continue gamble until they're no longer able, especially on sites where you have to pre-fund accounts (you need to deal with the bother and, with BTC, confirmation wait times of withdrawal and possibly a withdrawal fee). I don't know of any figures which'd be relevant, but I'd be surprised if a very simple coinflip site, where there's always a 49% chance of the player winning, did not actually haul a 5% averaged profit or more due to gambling fallacies (letting it ride, then believing you can recover a loss by betting more, eventually losing their entire roll with a bad series of gambles).
-So, then, why not offer a casino where the player has an edge per play (maybe even significant), but still has the cards stacked against them simply by gambling psychology? The only concern, then, is with bots, but perhaps you could just raise the stakes high enough where bot-users would be hesitant or maybe even demand some kind of flat fee to play the game. Alternately, perhaps you could have it where players need to "unlock" that "EV+" game, perhaps through a large number of losses/bets with EV- games in the casino.
Kluge, you seem to be a senior member here, but you really do have to brush up on your math and fallacies yourself. I'll respond to this assuming you're not trolling all of us here.
The math dictates that with large enough sample size, results will tend to the odds of the game. Thus if the game has a 1% house edge, the house's profits will tend to 1% of the total wagered volume. This holds true as players bet more.
If players bet more, they will tend to lose more relative to their overall wagered volume. This is why a bankroll of a certain value will certainly go to zero as you play more, and that most wise people advise you to leave the tables and never play again when you are up. As you play more, your total wagered will increase, and your expected loss (1% of that growing number) will definitely outgrow your total balance.
The profit of the house (house edge) can NOT increase to 5% as people play more. It can fluctuate to 5% because of variance, but it will always tend to 1% as more bets are wagered/hands played.
A casino will definitely go out of business offering a +EV game because as more play is generated, their profits will fall in line with the math. Their bankroll will dwindle, on average, with every bet.
What you might be thinking about is their actual profit. Their total winnings minus operational costs. That profit margin is definitely going to be very high, and not related to the house odds (1%)
Edit: to address your point about players that lose their entire bankroll, roll to ruin so to speak. If you have a lot of players, some will win and some will lose. there will be enough winners that cancel out the losers, and still average back to the 1% in the long run.