Ah, you mean if you can’t heal? Well, I don’t know about THAT. Maybe slower healing is what you mean? 75×75 blocks per-player?
I’m operating under the assumption we will be using the standard survival or hardcore worlds, with /sethome prohibited within the arena.
And even though people CAN recover, I expect plenty of deaths to be due to mobs, falls, or stray lava pools, so that balances it out.