I believe - as Brad and others have said - that Pantheon will be a spiritual successor to Everquest.
But the more I watch streams, the more it seems to me that the "successor" part will be more about group dependency, no worldwide market, no cash shop, slow progression, meaningful death penalty, no gps map, mobs with a ton of health that take time to kill and pose danger, etc.
But here are some other things that I see:
Does it LOOK like Everquest? No, it really doesn't. Nor does it look like EQ with better graphics. More like Vanguard with better graphics.
Does it SOUND like Everquest? Not at all really, as to ambient sound, soundtracks, and combat sound. All very different. Not bad, but nothing that will make you think of EQ.
Does it PLAY like Everquest? Yes and no. Yes as to measured, paced combat, but no as to manner of combat because they seem to have put in all these builders and spenders, which seems very WoW and SWTOR to me - not EQ.
Do testers PLAY like many people played in Everquest? Not consistently to my observation. Maybe they are just doing what they are told/allowed to do (probably), but they are almost always running dungeons rather than open world type pl;ay. In the very early streams they fought their way TO a dungeon, so there was that, but still.
Are the CLASSES like Everquest. By name, yes, but they are nothing really like what I remember in EQ.
My point is that people (maybe myself) who play the game expecting to re-enter something Everquesty (a word I just made up) I think are going to be very surprised. This is not just Everquest warmed over (which of course they have said, but many peeps don't believe them).