Even if the blockchain is public, he can’t tell whose funds received by the moderators is that of the one they’re paid by the forum for their moderation work.
Just look for the one transaction that pays to different addresses, all owned by Mods.
If he’s not also knowledgeable about the blockchain system, he’ll need someone to explain that for him too.
If that's the case, he should learn how Bitcoin works before worrying about Mod payments

For many years I wanted to know what the account would look like when you are a mod. I haven't found any screenshot yet, but it seems that the situation is not much different because when I had the ability to add members to my whitelist, all I got was whitelist bottom at the of each account.
If you create a self-moderated thread, you'll get "delete" button on every post. I assume Mods have that button on every board they manage, and I also assume they have a "Nuke" or "ban" button on profiles they're allowed to ban. As far as I know, Newbies can be Nuked by more Mods than more established members.