Force booters to boot everyone who's bootable, instead ofl letting them choose who to boot and who not to boot
First off, no link because I'm not trying to say 'blacklist this guy, he's sooooo mean', I just have an overall suggestion.
In a multi-day team game of mine I had something quite dishonest happen: There were two players who hadn't made their move within the allotted time, one from let's say team "A", one from team "B", we'll call them Allen and Billy, respectively. After a certain amount of time, another player from team "A" (lets call him Andrew), notices this. Rather than booting both of them, Andrew decides to only boot Billy, from the opposing team. Before noting why this is wrong of him, you have to realize what (I believe) the logic behind booting is: it is to speed the game up. "Andrew", in this game, did not speed the game up, rather, he misused a mechanic of the game to give his team an advantage.
In light of this problem, I'd suggest that it is madeso that you have to boot all players, if you want to boot any. Then, the meant function behind booting stays more or less the same, you can still boot slow players to keep games from taking weeks, but it also makes it so you can't misuse the system to help yourself.
Seems more fair to me. You either boot all or none. Booting selected screws up team games.