The comments are left only on abusive posts, generally between 1 and 5 at once. Is to let the user know that the abuse was found and what to do next.
It would make no sense to comment on the abuser's account on each post (it would be spammy).
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For ping wise I do agree but there should be some way for the reader to know without having to search through the posts to find out why they are getting downvoted, that's why I suggested in my other comments to have a separate comment system attached to the downvote button so we could avoid spammy pings. Where you set a message pinned at the top of the comments that you can disable when no longer needed.