Lil'Gun does some strange things.
I've seen several articles including one in the Hodgdon "Annual Manual" when Lil'Gun first came out, where it was mentioned that going below a certain point was contraindicated as well as above a certain point (ie: with 158gr JHP in .357mag above 18.0gr listed max) that velocities will DECREASE, rather than increase.
ie: 19.0gr of Lil'Gun is about 100fps SLOWER from a Ruger Sec.6, 4" I had, than 17.8gr!
I did some extensive chronographing and accuracy testing with 158gr and H110 and 2400 (as well as Lil'Gun) from a 20" bbl Winchester M94 back about '06. It (Lil'Gun) gave highest velocity and accuracy of ANY powder I tested, and pressure was "ok"... Velocity was over 2,100fps! but 18.4 (next larger powder measure cavity) would drop to around 1,980-2,000fps.
Personally, I think that your 11.8gr with 52gr bullet is a bit heavy, as I only use 12.5 with a 40gr bullet in mine. And with small PISTOL primers, at that.
Also, there are significant differences in bore bearing surfaces between different bullets, (length of bore diameter shank) that increases or alternatively decreases bore friction, hence pressure curve differences.
Also, the Handi-Rifle in general, and Hornet case in particular aren't very good in handling pressures.
I've had several Handi-Rifles over the years to include one in .22Hornet back in the '70's. It "ate" Hornet brass due to brass "flowing" into the extractor/ejector slot. It also had such poor metal in the trigger assembly, it wouldn't "hold" a trigger job. Metal galled and good trigger ended up after 2-300 shots being "hard". Three different gunsmiths couldn't "fix" it. Barrel was "rough", and it never gave acceptable accuracy (4" at 50yds). It went down the road !!! (As did a .22wmr, .243win, and .45/70 Handi-rifle).
My current "Hornet", has been the only "keeper"; a Ruger M77/22KBZ (heavy bbl, stainless steel, laminated stock circa 1996). It still has "issues", but most have been resolved.
It won't tolerate a lot of the maximum loads published through the years. Another Ruger M77/22 I had, had such a large, sloppy chamber it would shoot "OK" with 13.2gr of H110 over a 35gr V-max, the best load I ever found for it. My current rifle will "lock-up" with that load, and wouldn't even chamber loads using neck-sized brass from that rifle.