Unsharing Folder causes projects to appear on left panel

Our top level folder includes projects for this current year. We’ve placed past years in a folder titled “Archive”. As the admin, I’ve unshared this archive folder from the majority of team members as they rarely need to access it. However, when I unshare the folders, some team members have a plethora of child projects displayed on the left hand project panel in no order and out of a parent folder causing a bit of a mess. If I unshare the parent folder shouldn’t this automatically keep them from seeing accessing those projects?

Thanks