That is a 303 Brit improved but it is neither an Ackley nor an Epps, it appears to me to have a 25 deg shoulder, where Ackley always used a 40 deg and if I'm not mistaken (not as familiar with the Epps line up) Epps was 35 or 40 deg as well.
Actually the improved is very feasible in the Lee Enfield action, not so much as from a greater ballistics stand point but as a more positive head space for the cartridge and less case stretch with a moderate improvement in ballistics. It also dramatically reduces bolt thrust which is always a good thing in an action this weak.