Should comments webhook update count after deleting posts/comments?

I’m trying to understand how you’ve set this up. Please correct me if I’m wrong:

  1. You use Publishing and DiscourseConnect feature sets of the plugin.
  2. You do (not) have “Enable Discourse Comments” enabled (?: this is unclear)
  3. You have the “Sync Comment Data” webhook enabled.
  4. You have added a custom button at the bottom of the Wordpress posts linked to Discourse that displays the count of Discourse posts on a topic. It uses the get_comments_number Wordpress filter.
  5. You want the count to be updated when posts in the linked topic are deleted.

Is that right? What else have you set up (or not)?