[banannaise]

The house isn't a player. They offer the game for players to play. That is a fundamentally different role.

Saying that the house is playing the game against you is equivalent to saying that Nintendo is playing Super Mario Bros against you.

[hamdingers]

There is an entire category of casino games where the house is a player. These are called house-banked games and they include most of what you imagine when you think of a casino floor: blackjack, roulette, craps, slots, etc.

But even in player-banked games like poker, the house is an agent participating in the game through the dealer. They can still exercise their right to free association and not play with you.

A corrected analogy would be Nintendo banning you from Mario Kart Online for suspected cheating. Yes, Nintendo isn't playing, but they still have that authority as the facilitator.