Nanuk, if hunting big game with a .44 you probably have not been using JHP.
I have seen a Remington 240 JHP fail tp penetrate the shoulder cartilage of a 200ish pound boar. The round in question was fired from a Marlin 94, and its velocity resulted in rapid expansion and poor penetration.
It isn't just velocity; it isn't just sectional density; it isn't just bullet construction. It is how all three work together that determine whether a load is a good choice for a given target type.