I have found in my experiences that there is a definite and noticeable step up from a .44 to the various .45 calibers. That said, I don't think they need to be pushed as hard as a lot of folks do. I have never seen an animal impressed with velocity, but they sure take notice to heavy, large caliber bullets.
I think the .500 would be great moose and elk medicine. Heavy hardcast flat point at moderate velocity and you'll get end to end penetration........
JMHO.