After the last post, I got curious about other 9.3x74 brass I had on hand and here is some additional info:
.012" neck thickness RWS brass
.013" neck thickness Hornady brass

If you increase the expander ball diameter to accommodate the Lee equipment you might reduce your bullet neck tension too much for best hunting performance. I doubt two thousandths of an inch under for neck I.D. is optimal for .366 bullets
and maybe not adequate with Norma .365 bullets. If your original expander ball is .3645 and your rebound is .0015 as mine was then you will have .002 or .003 for neck tension depending on the bullet used.

I'm guessing your .362" of neck I.D. coming out of the FL size die using the original expander ball is just about optimal for the cartridge. I shoot Norma, Hornady, Speer and A-Square bullets in three rifles and the die producing .362 I.D. has worked well for all.