I agree, that is probably what he meant, but it was factually incorrect.
Even so, in eve there are only small aspects that span servers simultaneously (the market place, and maybe other things too--I haven't played in a year or so).
The unique thing about eve is being able to jump between "realms" or servers or "shards." That gives the illusion of playing together in a much larger world.
I've never played WoW, so I don't know if you can jump between shards or realms, or if they are treated more like parallel dimensions.