That drop down is showing you Part types, not contexts. I was going to suggest that you go into Type Manager and inactive them but I see in my system, where they are inactive, all show up. I think this should be a Windchill Idea since I think it should only show active types. That being said, I can see a case where you might have created a Part type and then inactivated it. You still should be able to find that part again in a search. Either way, the search should only return parts the user as the ability to see which by definition, its places they are a member of. They would need to be either a Guest or a Member depending on your ACL setup. If you want contexts to also be a search criteria, that also is a Windchill idea submission.
