Hrqls: Yes, that would solve the problem rabbitoid pointed out - but not the problem with a strong player getting a ridiculously low BKR because he timed out in a bunch of games. His future opponents would still suffer from that.

Maybe the solution is to use the BKR from the start of the game AND delete someone's BKR if they time out in three games in a row? And (still) delete them from any tournament they have signed up for.