I don't believe so, or not that I've come across. The reason this is so is because Halo is the only XBOX game I've seen that treats the machines like a proper PC LAN and names the machines and then the players on the machines.
Any other linkable game that I've fooled with simply lists all the players in a big pool. The method employed by Halo was great because it allowed you to know who would be sharing which TV, letting you know if you ahad a team mate able to show your enemy what you were up to.
Since system linking in recent games use the same interface as the Live gaming, it is very unlikely that anyone bothers to worry about displaying who is sitting next to who.
Instead of renting Halo, rent DOA3 and set it yourself, takes five minutes. Your box is probably named Dopey anyway. Gee, I forgot what mine was originally.
Side anecdote: Because I'm a cock, I renamed my friend Dustin's XBOX to "Pooper D," and then all our friends at college began calling him Pooper. I ruined a life !