The only way the 350 can be said to near the 35 Remington ballistically is because it is loaded to much higher pressure — somewhere around 50k psi if IIRC — than the Remington which is around 33k psi due to many older rifles. I could probably beat Usain Bolt in a 100 yard dash if he had to do it in a feed sack.

A 35 Rem build with hand-loads could beat it significantly.