I dont know about LOTRO and Warhammer Online, but as for EQ2 the F2P people will have there own sever and will not interact with P2P people, unless the P2P people want to transfer over to that server.
The one thing I never really liked about Guild Wars in the lack of free environment. There is a path that you have to follow, no mater what zone you are in. Ever Quest on the other hand has a free environment.