From my perspective I think these numbers look pretty reasonable: the community is handling a majority, though not an overwhelming majority, of moderation tasks in nearly all categories except for things that can only be done by diamond mods. Tag maintenance seems like the one notable exception.
FWIW, Emilio Pisanty is not a moderator, and therefore cannot delete comments by other users. 2 comments under Emilio Pisanty's answer were flagged by users as obsolete/no longer needed and afterwards deleted by moderators.
The other user in your comment exchange shouldn't have had the privilege of commenting. You happened to be commenting as a moderator was cleaning up.
In the interest of protecting the privacy of users who can't currently participate, that's probably all that we can say publicly about this event. Thanks for respecting that.