Usually yes, if it's deemed that you've been doing it maliciously (just like you would be kicked out of a real-life football match if you were the goalie for your team but you were consistently hovering next to the other team's goal trying to score).

Um, being benched by your coach is totally different than being banned by the organization putting the event together. Most sports have some sort of anti-cherry-picking rules. In your football example (I'm using the proper football here), there are offside rules. Hockey has the rule about the crease. NBA has the 5s rule for being in the paint. NFL has illegal formation. Baseball actually encourages getting into wrong positions by allowing stealing, but have other rules to ensure runners finish in proper order rounding the bases.

As many times as I would love to see a ref be able to issue yellow cards for continued blatant offside calls against a player, they cannot be kicked out for breaking said rule.

I'm not talking about a professional team (which would anyway absolutely kick a player out if they were repeatedly griefing their own team - a power which is usually not given to players in online team games).

I am thinking of an amateur tournament - I am quite certain a player who was blatantly acting against their own team would be kicked out by the organizers, even if they weren't explicitly breaking the rules of the game.