I think that Lil-Gun works best with the heavier bullets in a 22 Hornet. I have two 22 Hornets, and have shot hundreds of different bullets experimenting, trying to find an accurate load. Unfortunately, the 22 Hornet is NOT an easy cartridge to load for, to find excellent accuracy. My Step Dad had a Winchester Model 54 in 22 Hornet and the best group I ever saw him shoot was 3/4" at 100 yards for 5 shots, using IMR 4227 powder.
Both of my Hornets, a Ruger Number 1, and a Ruger model 77, shoot best with H-110, with Lil-Gun second, as far as accuracy goes. I use small pistol primers and crimp bullets after seating. Somewhere around 10.0 grains of H-110 seems to be best for my two rifles. But, I have read posts by guys who get good accuracy with heavier charges of H-110. Your rifle will dictate what charge is best.
Martyn