From the house's perspective, they're all profitable otherwise they wouldn't host the game in the first place. Regardless of whether it's a physical casino or online, there are fixed costs they have to cover and they can't do that by paying out more than what they take in.
From the player's perspective, you might come out ahead in the short term once in a while, but you will lose over the long term regardless of which game you're playing so none of them are profitable.