My Mom had a 742 carbine in 30-06. It shot factory fairly well, but I could not keep 5 of my H4831 reloads inside a paper plate at 100 yds.
Then a I got the bright idea to try some IMR 3031 under the 165 gr ballistic tip. That little carbine started printing 1.5 moa.
Short barrel Remmys can be taught to shoot.