I have used Copyparty on my LAN (with nginx as a reverse proxy), and remember it being fast enough to saturate a gigabit connection. I would probably believe the numbers quoted here: https://github.com/9001/copyparty?tab=readme-ov-file#reverse-proxy-performance

I am having trouble understanding the math you are describing. How has the system been gamed if you voted this way? It sounds like you only play yourself, if you would discard your second-choice in the hopes that your first wins. The system is still going to favor consensus.