The game should be, in my opinion, focused on character relations. Skills would, I expect, only lead to attempts at min-maxing First Ones. It is as De-Legro rightfully points out, people would simply game the system and do silly things if allowed if it gave them any kind of advantage. So while I admit specialization, progression and skills sounds nice in theory, I believe it would be a larger mistake in the long run. However, if they're only for dungeons, I don't mind. Largely because I haven't touched a dungeon since year 10 in game.
Furthermore, if skills, as was suggested earlier improve with use. Players who have played for longer will have an even larger advantage than they already do. It would help for history, culture etc in game to be more continuous, which I believe is good. Yet, I can't help but feel it is the wrong way to go about it.