Will a SearchDataSource free text search generate hits on the built-in property for categories ("PageCategory")? For the name or description, or perhaps both?

If i want to do a property search for categories, can I use one criteria to get a search with logical AND or is it better to add multiple critieria? What I want to do in this second case is to create a listing page, where one property (call it "SelectedCategories", of the PropertyDataType.Category type) should be used in the SearchDataSource (no freetext search here) to get all pages matching ALL of the selected categories (but not the exact set, the matching page may have more categories).