@Drew Jaynes - Ok, that makes sense. But, my question is, what's the difference between selecting the Quote icon to see all posts with the Quote format and the Quote category listing all posts with that Category? I am assuming that if both exist, that a Quote formatted post would also reside in a Quote category.

I think I'm confusing myself here since it's not a requirement to have a Quote category for the Quote format, the Quote format can be used for any category, if one is even selected.