I ran into a problem using neck sizing dies with my .243 handi. The shoulder of the case moves forward and the case does not chamber completely when neck sizing.
The collet die is included with one of the Lee die sets, maybe with the rimed case there won' be a problem. You can check by dropping a loaded case into the chamber past the extractor and see if it is flush with the breech.
The Hornet is one of the most finicky cartridges I have ever loaded for, good luck in your endeavorer.