Hello.
1) User1 created private (invite only) group.
2) User1 turned ON "moderation posts" option in group settings.
3) SuperUser joined group (as member). Also this user has "moderation rights in profile type settings.
4) User2 joined group (as member)
5) User2 created post (story)
6) SuperUser navigates to "Moderate Posts" and can see User2's post (this post is on moderation)
7) SuperUser try to "Publish" this post.
Result: Nothing happen.

Seems only User1 can publish moderated post.

But I suppose SuperUser should have this ability too.

Thanks.