[quote=@Ellri]
Besides, if a GM should excessively abuse the right to kick people out of an RP simply to ruin things for other players, then that GM will soon find himself/herself without players. Word gets around. We personally would rather have the moderators involved in the one in three hundred and twenty-seven cases where a GM abuses such, than to force the moderators to have to deal with the three-hundred and twenty-six cases of being asked to remove someone from IC access when it isn't GM abuse. They've got enough to deal with as it is. No point in ensuring that they get extra work, simply because someone's might potentially abuse the very limited power they get. 
[/quote]

But Legend makes the salient point that any reasonable people could simply talk with each other, the GM explaining to the player that he doesn't want the player in the RP for so and so reason. If they and the ban reason are reasonable, then they would either negotiate or the player would leave without a hassle. If the player does [i]not[/i] leave without a hassle, then that player is unreasonable and may not be suitable for the website (if the ban reason is logical). If it is illogical or petty, a reasonable player will still leave, but may appeal to the moderators. Thus all things resolve themselves. Unreasonable/troll players are rooted out, illogical or petty bans are overturned, negotiations can occur, and all things will stay well in a reasonable realm.

To add to this, if GMs were able to ban players from posting in an RP, the player may not understand why and will make an appeal that only creates more work for the moderators. Or an unreasonable player may make an appeal that also creates more work for the moderators. Thus two-thirds of appeals are fruitless and make more work for the moderators. However, if GMs are to ask players to leave rather than ban them from posting, one-half of wasteful appeals are eliminated.

Logically, the option that creates less fruitless work for the moderators and resolves the most problems in the simplest manner is the best. As I have just explained, that option is doing nothing at all.