I did check their website. A private server owner could elect to use their services, it would be overkill for them however, as discord is free. But with 700+ servers, servicing a few ten thousand players, it makes more sense.
I’m not speculating. Umboris is a Funcom Employee, and his team are also Funcom employees. He’s mentioned them on the forums in the past.
The volunteer program has ended. Unpaid forum moderators do not have advanced tools anymore. The ones moderating the servers are apart of AndyB and Ignasi’s team. There’re also Funcom employees. I don’t know how much AndyB works with ingame moderation, but I know Ignasi has some sort of function with the servers or at least has eyes on them, probably bounces back and forth. There’s also quite a few unnamed people that work around on both sides of this.
But yes there is two separate teams for the forums and the game. The forum moderators do the entire forum, not just Conan Exiles. What I’m unsure of is if the game moderators handle multiple games.