You cant turn off your name no
that would be cheating.
You would have to join a server that was specifically set up to not have player names displayed.
I like it the way it is, shows you all team mates in your field of view, and enemys if you hold your crosshair on them for a fair while.
Dod has something kinda similar, realism servers.
FF, and no death mesages. This means if you see somone upstairs, throw a nade up, you have to go up and check if you killed him or not. Fucking scary ass to play like that, you dont know if you got them or not. Very rewarding though.
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