I work at a place that used to prescribe this. I dislike it because it adds too much repetitive noise to the abridged git log. (It occurs to me that you may be making this point in a tongue-in-cheek way.)
Originally I suggested we put the JIRA number/link in the commit body, but then I learned about git-notes to add metadata to commits and now I kinda want to do this with the semantic labels suggested by the thread OP, too (I currently use the schema suggested at https://seesparkbox.com/foundry/semantic_commit_messages).
Notes kinda bloat the repository with additional objects, and they can be removed independent from the commits, so I'm a bit iffy on using them for this.
Originally I suggested we put the JIRA number/link in the commit body, but then I learned about git-notes to add metadata to commits and now I kinda want to do this with the semantic labels suggested by the thread OP, too (I currently use the schema suggested at https://seesparkbox.com/foundry/semantic_commit_messages).