I couldn't imagine a more absurd idea, even if I tried really hard.
1) Why would you need to add a timer for yourself? On what basis? Just because you feel like it? That's phenomenal logic, or rather, a complete lack of it.
2) If you're really set on controlling your opponent's "doing nothing," there's a simpler way. Let's say your opponent had 22 minutes left when they crashed, and after reloading, it's 30 minutes. The opponent makes a move without doing anything, and then passes the turn after it's completed. You exit the game, and if needed (and I feel it will be), the opponent sends you their save file after the move for COMPLETE control. Then, they wait 8 minutes and pass the turn. No third parties are needed; the opponent's "doing nothing" is confirmed by loading the save file from before and comparing the actions. It's strange that such a simple method didn't occur to you, but instead, you're adding a timer for yourself. I'd like to say it's like "Woe from Wit," but it's clearly something else entirely.