By WWII, the 9mm was as hot as the original loads, either, excepting those marked for SMG use only, that were even hotter.
The Commonwealth Eley and Kynoch loadings were not in that class, however.
9mm Ball Mk1z was a 7.5g (115gr) bullet with a velocity at 20 yards of 370m/s (1200 fps) in production 1941 to 1944
9mm Ball MkIIz was a 7.5g bullet with a velocity at 20 yards of 400m/s (1300 fps) in production 1943 to 1988
The MkIIz was no slouch and is not far off modern +P rounds.