@Rule 303
Loaded with projectiles of similar  sds and velocities  probably  not.
Loaded to their potential  yes.
Then the 375 wins hands down.
The old cordite load in the 375H&H the 300gn soft or sold was easily out done by the 9.3x62  in penetration  stakes when loaded with a 320grain at 2,200 to 2,300fps . The Whelen  with 310s is in the same boat.
In days of yore according  to the 9.3x62  journal a lot of PHs preferred the penetration  of the 9.3x62  over the 375H&H  as the 375H&H drove the 300s of the day to fast causing  them to over expand or in the case of  the round nose solids  bend and deflect off course after hitting large bones.
An RWS steel core solid in the 9.3x62  of the day would penetrate  an elephant  skull from side to side. The front on brain  shot with the same bullet they would  sometimes  find it lodged in the spine.
The 9.3x62  journal is a real eye opener in what it will do.
Bob