There are some tournaments where all players have finished their games before months - except with one tournament participant, example

► BIG BAD WOLF Presents: Assimilation Tourn #1

In such a situation where all unfinished games contain the same player name, my suggestion is that the server changes immediately the time per move to only 1 day per move, so that a single tournament participant doesn't block dozends of others for months or years. Players who join to a tournament and need all the time for reflection of, say 7 days per move, should be aware that
they could become the hand-brakes of a tournament, then the time would change to the faster mode of
1 day per move and they would risk to lose by time control.