no need for a No4 action at all , BSA built sporting rifles on the earlier a mle , le1 and mki ,mk ii and mkiii actions in 375 x 2 1/ 2" , 7mm , 8mm . All within the pressure limits of the actions .
Just dont need 2500 - 3000 fps velocity. I have 2 x 303 sporters built by BSA before 1900 that are in excellent condition and accurate . My reloads chronograph between 1920 and 2150fps .