It's also unlikely to actually be the case - Bok was almost certainly a pet project of some Runelord/Archmage combo, and neither of those two groups are particularly fond of sharing secrets (such as read/write access to Bok's permissions list) nor of secular authorities butting in on Guild/Cult affairs.
Because -- or at least I suspect -- Bok draws from the Waystones of Karak Eight Peaks and has something to do with them. And that
is the domain or business of the Kings.
Furthermore, this isn't the normal Runelord project. This is an item that sticks around and walks on its owns and does stuff. Which means that the Runelord would probably have had to have left
some documentation or protocols for it; or engraved protocols into the Waystone control system somehow. Because this isn't like an ordinary bit of runework you leave behind for your descendants and apprentice's apprentice's apprentices; this is something that needs more active supervision.
... Hopefully they didn't just leave it up to "The Runelord will pass on secrets to the next Runelord." ... They might not have, actually. If Runelords often died
before they could hand over whatever position of authority they held (because they were Dwarfs and so were going to hold on until they died) like the way a King does not do "retirement", then... Hm. Either it would have rested on them keeping Apprentices or something, I dunno.
I'd buy Bok recognizing that the bearer of the crown was the King and treating them as such, but arbitrarily declaring someone a Runelord (or Archmage) is not actually something a King can do so it makes no sense that that's something Belegar (or Belegar's presence) can do.
I don't think that a King can declare somebody a Runelord, but the King
can probably say "
This Runelord is of our Kingdom" which might make the difference. (But then that runs into the issue of whether "Runelord 'of' X Place" is even a thing; and then, if it is a thing, whether Kragg would be willing to give his position in Karaz-a-Parak to do so, and then if doing so would be a good idea... And,
would it be a good idea? For instance, what if we in the future wanted to do something with Thorgrim's help and the Throne of Power, or talk to Thorgrim in some way? Having Kragg remain the Runelord of Karaz-a-Karak might be able to smooth a lot of things along. Or for that matter, if Kragg moving permanently to K8P would make Thorgrim nervous or stressed or sad at the loss. Or maybe make Thorgrim think that Belegar is more fine with Thorgrim, if Belegar got KaK's Runelord. Or... Urgh. The more I think about this, the more I worry about stepping into a minefield. And it might not even be a thing at all, so.)
Worst case scenario: it needs to be a Runesmith from Clan Angrund or one of the Karak Eight Peaks runesmith clans. In which case,
maximum well'p.
But you're probably right that this was probably a pet project of a Runelord and an Archmage, who then presented the finished project to the King of Karak Eight Peaks, and the King now had another protector for his kingdom.
Question is, who can command Bok? What is the chain of authority here? Is Bok under the command of the Runelord of Karak Eight Peaks? Does Bok belong to Karak Eight Peaks and thus the King may command him at will? But then, since Bok draws from the Waystones, and the King probably can do something with that... what's the relationship between King and Elemental then?
We don't know all this. We don't know enough, sadly. But at least, we have a shot at trying to see if Belegar's Crown lets him do anything or get any reaction out of Bok.
We'll probably have to dig deep into the histories and secrets of Clan Angrund, and/or whomever the Runelords of Karak Eight Peaks were, in order to try to get answers. And we've no idea if the relevant histories and journals and archives even exist anymore.