Ah, mine forgot about it after excitedly trying twice.
Other possible "solutions" I read about that aren't as good as what you're currently doing:
- Keep Hey Siri on, but create custom shortcuts to automatically respond with your preferred admonishment for things you don't want them asking over and over again
- Keep Hey Siri on, but set HomePod volume to 0
(By the way, thanks for mentioning HN Notify in your profile. Had no idea that existed. Now I'm using it.)