The Everquest servers for the PS2 version are run by the same team as the PC Everquest so it should be as good (or bad) as the PC version. The beta testers on the PS2 Everquest forum say it ran as perfect as you could ask for during the beta test.

Which then brought up the question, why are Zippers SOCOM servers so unstable, and the Everqust servers so stable never bounced people and didnt lag?