The information below is for older versions of Crossover. The current release (11) works, provided corefonts are installed.
From my initial tests of the new patcher ("LaunchPad 4"), it does not work in CXGames, it will try to start and then crash. It DOES however work in wine (tested 1.3.33) just fine. So you can easily use wine for patching, and use CXGames for playing if you want to. EverQuest2.exe skips the patcher and launches the game directly, while LaunchPad.exe will launch the new patcher - if you have a fully patched game, you can just run EverQuest2.exe in CXGames.
Update: Jonathan notes that LaunchPad 4 requires corefonts to be installed to work in wine. They can be installed via winetricks.