If headspacing on the shoulder for the K, is the accuracy gain, then neck sizing is the the ticket for the rimmed and slope shouldered older brother. With the length of the neck being what it is, run out during bullet seating is a major factor especially when full length resizing.
Most older rifles chambered for the Hornet were not what you would call masterpeices, and a lot were bargian basement types. The chambers were not reamed concentric with the bore and this compounded the run out factor,along with the previously stated problem of case rim thickness differences ,(there are gauges made for 22 rimfire target shooters to measure this difference to segregate their ammo) so fire forming the case to the chamber of these not perfect guns and neck sizing after is a must do for any type of accuracy.
More modern Hornets are free of this problem, and optmizing your load,bullet weight and type,and powder with neck sizing ,usually will give good results.
The Hornet was designed from the start as a VARMINT load and most rifles which in my opinion if it can put the bullet in a 2" circle @100 yds, it is doing what is was intended. This is at normal velocity 2500-2800fps, if you push it faster cases will be stressed and their life is shortened.
Reading Verns' statement about using the case as a dipper for his charges of Lil' Gun, I was surprised when I read in my 10th Edition CARTRIDGES OF THE WORLD, that the original factory black powder loading for the 22 WCF was 13 grs FFFg.
Most black powder cartridges were loaded just as Vern stated, by dipping the case full, of one of the three small arms rated powders, Fg ,FFg ,FFFg.
Almost all Hornet shooters have came to the same end, that APPROXIMATLEY 13 grs of Lil' Gun is the sweet spot .
Conclusion, It took modern reloaders (self included) and propellant chemists about 90 years to re-invent this loading for the little 22 caliber smokless wonder, and I'll bet this is just one of many reasons, once the HORNET STINGS
It takes a long time for the swelling to go down.
MERRY CHRISTMAS TO ALL