I have a bring back TS Carbine from 1942. It has a 17.75" barrel with a fixed rear sight and is very handy a light. The clip system works if the clips are of thicker gage brass or steel otherwise the rounds will jump out at a angle and jam the gun. The gun does shoots better with .268 bullets most manufactures use .264 bullets which are a little undersized.
The Carcano M1891 barrel length is about 3.5 inches longer than the Carcano M41. This similar to the difference between the Mosin M1891 and Mosin M91/30 barrel lengths.
You should try using the Norma 6.5 Italian 156 grain soft point bullet ammo, very accurate in my cavery carbine, the bullet is torpedo shape like the original Italian military round, they engage the rifling alot better, then the pointed ammo you are using, very good video, great job
Your groups are about par for the Carcano. I have two carbines and can't hit the broad side of a barn with them, and I'm a decent shot. I read somewhere that Mussolini himself got involved trying to improve the Carcano, with little success. This may be outside the scope of your channel, but have you considered comparing the Carcano, the 1896 Swedish Mauser, and modern day Creedmoor? All are 6.5. (Or at least compare milsurp 6.5s.)