There's a lot of pedantry going on here. Any institution/library etc. is not bound to have material exclusive to its title. Titles are short and snappy for a good reason. If they were to include in their title all of the genres they covered it would take us a year to read the title.

Personally I am quite happy if I can go to an institution and find what it says on the label, regardless of what else is in there. As long as the bulk of its holdings are covered by the title most of us would be happy.