It's a pipe dream, I know, but if Russia really wanted to fudge the NHL over, they could just withdraw altogether.
In a proper international tournament one participant withdrawing does not of course neuter the entire show, you just call the next best country and then it's business as usual, but here...
For starters, calling the "next best" country would hardly be a viable option, because all of their best players are already in Team Leftovers. Oops.
Playing the tournament with just seven teams does not sound viable either, given how it would still pretty much neuter one of the groups.
Create another gimmick? Sure, THAT would go over well, no doubt. It would pretty much expose this gong show in all its glory. Not to mention they'd be scrambling to put one together anyway, given the schedule. Find staff, make picks, so forth... (Note: Real national feds have most of the necessary infrastructure in place and can put a team together on moment's notice. But it'd be a massive undertaking for the league.)
Bottom line, if Russia really wanted to play hardball with this, all they'd have to do is grab the NHL [MOD] and squeeze. Were they to do that, pretty much the ONLY viable option would be to turn over the decision and just let Voynov play.