It's backwards compatible not emulatable.
You can play the legit xbox versions without modding and play backwards compatible on TS2 and TSFP with no modding with full LAN Support.
I cover a lot of bot games on offlinebots official site and my YT channel.
Yes you can do 4 player PER CONSOLE
PS2 - Timesplitters: 4 player split-screen (NO LAN)
PS2 - Timesplitters 2: 4 player split-screen over i-link (firewire) or LAN
Xbox - Timesplitters 2: 4 player split-screen system link
PS2/Xbox - Timesplitters Future Perfect: 4 player split-screen...
