If the purpose is hunting I'd go with the 44. I'm a big fan of the 41 however. I have an old SW 57 and absolutely love it!! Ammo is quite a bit more expensive though so you really shouldn't even consider it unless you handload.
Also, another reason the 41 magnum never took off is because it was designed, like mentioned, as a defense round and they loaded way too hot. When trying to introduce a new Gun/Caliber combination it probably would've been best decide..."is it a defense round or lil bro to the 44?" Truth is it can be both.

Anyways....the 41 gives up very very little to the 44 when we're talking hunting. (until you bring in the Buffalo Bore and Garrett ammunition) But since you want a hunting pistol I'd go with 44 BECAUSE the 41 mag you've mentioned isn't as good of setup for hunting. If the guns were chambered the opposite I'd tell you the reverse.