In my opinion, this is a two part answer.
For mammal processing and cleaning:
A good hunting knife does all the hunting chores it needs to do, but none as well as a specialized blade. It needs to be big enough to break a bone or a joint, and have enough meat on the blade (no pun intended!) to keep it from ruining the edge if you hit a bone.
It has to have enough of a point to be able to cut and pierce the areas around the nether regions. I has to be sturdy enough to NOT flex when using it. You need PRECISE control.
But... it has to have the right geometry to make it a good slicer as well. Not only grind, but shape as well. Enough belly to roll back skin and membrane when needed without too much fear of nicking something or when in deep losing sight of the point. But not so much belly you can't precisely reach in a bit to cut that last piece of membrane from the skin or reach into a tight place.
It must be easy to clean in the field to remove guts, blood, etc.
At the hunting camp:
The traditional hunter must do camp chores as well. This includes meal prep, fire prep, rope cutting, possible branch removal and sapling cutting, and any other chores that crop up when camping. It must be easy to sharpen and maintain in the field.
For me, I have had a few good hunting knives, but don't recall any of them being perfect for everything. I have some I really like, and some I use because they have tremendous sentimental value. To me, the balance was to find one that was good at
all the tasks I through at it.
I think a knife is like any other tool and should be matched to the job(s) at hand. With that in mind, it is yet another reason that you need many, many knives.
Robert