I have to agree with ughaibu. I'd be very careful which tournaments I joined if I thought the creator might award the game to my opponent if I took too long or someone complained. And it would create extra work for Fencer having to check out every game that a creator wanted to finish.

For me the answer it quite simple, if you have a problem with a tournament, contact the creator, tell them which game, and what the problem is.
If the creator sees that the game is hopelessly lost by one player, and it is severely holding up the tournament, send a message politely asking that person to resign. Any reasonable person wouldnt mind at all. I've been asked to resign games, and have done so. And I have also been in a position where I asked someone to resign (so a pawn could advance to the next round).
With manners and a bit of consideration, tournaments do not need to be such a headache.