Will Relics create the same problems that they did in FFXI?

[Elexia]

but these weapons are supposed to be a mark of the status of the best in game. And what better way to determine the strongest adventurer than one-on-one duels on a server-wide or world-wide scale?

That would mean they need to:

A. Make one set PvP based
and
B. Make one set PvE based

Otherwise forcing people into PvP who have no desire to partake in it is a horrible design decision and what kills off MMOs the most because as we seen in PvP focused MMOs, they die very quickly due to a lack of good PvE especially end-game.