I dont think there should be a vote to kill mode. Solo players will ALWAYS lose that because teams would ALWAYS work together.
And then even if its all solo players, what happens when no one can agree? You sit there for 3-15min and keep getting the same results?
I feel like your idea isn't a bad one, (because i wiuld love more games directly from the show verse the mobile game version) but isn't well suited for this mobile game. That kind of mode would be best for a PC / PS4 / Xbox sort of Squid Game game.
I also feel like this sort of game shouldn't come in until we have game modes with more people and/or higher payouts especially considering how little you can get with many people share a maybe 65k winning pot.