Hide specific categories from the top page without muted or how to get new topic count in muted category

I’m not 100% sure I’m following this, but if you ‘default mute’ a category from the default categories muted admin setting, it sounds like that already does a similar thing? The topics won’t appear in the Latest list, but are all visible if you go to the category page. And if a user interacts with one so it becomes tracking or watching, then those ones do show up in their topic lists.

Is that what you’re after?