Down here in the U.S. the .303 is rarely seen hunting, though I do know of a couple of exceptions. We Yanks usually have little familiarity with Enfields (though I have two No. 4's, used to have four, and love them myself) and tend to be in love with higher and higher velocity numbers which the .303 can't come close to. The .303 is about as well known and highly regarded here as our own .30-40 Krag cartridge, which is to say, "the what?".
I know the English long used a 215 round nose to great effect on big critters. We can get 180 grain hunting loads here, I would not hesitate to whack an elk with one at reasonable distance. One of my No. 4's is a mil-spec Mark II and the other is a cut-down and sporterized Mark I that looks like the Canadian Ranger EAL (?) rifle but with the military peep sight. Good rifles, the latter is occasionally brought out as a 'truck gun' or backup.