We don't mind people being forum related positions in any place (as long as it's not a major administrative role). You shouldn't really be limited to where you want to be online as long as you maintain admin activity on our servers.
I myself am a semi-moderator for /r/leagueoflegends, doing the editorial of FAQ and such and a moderator on forum of a clan I used to be a leader in, but now just a moderator on forums. I feel like it would be unfair, to limit people where they want to chat and we don't want to involve such policies in Ambrosia.
This should be a hobby, not a labor for our administrators. A hobby they should treat with responsibility and maturity, but still something they should enjoy and not feel insecure about.
Locked n soved, under one detail, if it actually is proven a forum moderator does have administrative rights there, this case can be re-opened.