Unpublishing somethings parent has never unpublished its child. The child is just no longer accessible. No one except moderators and the profile owner should be able to access the media when the album is unpublished.
As we fetch all titles and descriptions of a user's albums and items into a single search string this will lead to confusing results and wrong user views.
I've no idea what you mean by this or how you're fetching that information. If using a database query just join the albums table and check for the albums publish state.