My eldest dd is
Katherine (nn
Kate) so obviously, I really like it. I strongly prefer
Kate as a nn also. I will say, however, that all
Kate names need a serious rest.
My dd has always had between six and eight Katies/Kates in her grade. Of course, most of them have been formally named
Katelyn and
Kaitlin, etc., but it doesn't matter. This name is everywhere.