You should make some kind of a meeting room. A table, some couches, and a screen that streams the match. The players would be warped to the room before the match to discuss strategies and prepare themselves. When a member gets killed they would get warped to this meeting room to be around their friends and watch the rest of the match and support their team that is still out there. Its a small thing but it would feel much nicer to be around your friends and watch the rest of the game instead of being throwned to the hospital.