I'm not convinced that this is really a bug. The classic template is just a template. I'm having a hard time seeing why the default should be to hide queries. What about the query is so private? Anyone can regenerate exactly the same query if they want to. If they word "private" is the sticking point then we could consider changing it to "personal" or something maybe more neutral sounding.

Users can certainly customize the templates if they don't like that default behaviour.

I'm willing to be convinced, though :)