Kyron, I've been loading 240gr JSP for my .44mag handguns for a great many years. All the hogs I shot with it, lord knows how many, a bunch have passed through and even more didn't. They all resulted in dead hogs. As far as deer (white-tail) I've never taken any shots past 65 yards and it's pretty much the same thing. Some pass throughs, some not. It all depended on if I squared the shoulder or hit lung shot ribs or quartering away pocket pass. Now, some hard casts that I have loaded up for her, I have yet to not have a pass through on hog. Never used a HC on deer.
Im with the others here. If it aint broke, dont fix it! For deer sized game, that 240gr JSP is fine medicine. Just place your shots and collect some meat!