Thanks for explaining. With priviliges and abilities being two separate things, it might be worth making the separation more definite. The screenshot in this answer exclusively uses "privileges" in the Roles section, and "abilities" in the Recalc Abilities section, but the screenshots in the question seem to overlap a little:

• In the Your Abilities page, the Moderator row mentions privileges (perhaps the real problem here is that Moderator does not belong in a table of abilities, with an Earned column, as it cannot be earned).
• In the moderator view of the Privileges of user page, the heading of the page seems to clash with the title of the only table, Abilities. Thanks to this answer I now realise that the heading of the page makes sense when viewed by a global admin, as there are two tables and only one of them concerns abilities. Would it make sense to use a different heading for moderators, or would it be more confusing to have different people see a different heading?

Yeah, I think we should take Moderator out of that list, for exactly that reason. I'm ambivalent on removing the "Abilities" heading for mods; we might add other features that can be suspended on a case-by-case basis, such as suggesting edits, which would be separate from the blocks of features that Abilities currently encompass. It's something to keep in mind when we rework the Abilities system, which is something we've been thinking about for a while now.