RE: Are they mutually exclusive?
Hunting ability and shooting ability are two different things. A really good hunter will typically become proficient enough to take game, but not necessarily good enough to win any shooting contests. That would often take too much time and practice, of which they devote their time to field work and actually hunting. Of course, there are exceptions. I know several exceptional archers, who are also very good hunters.
One thing I have noticed, is that most great hunters are low tech, simply because most are older and learned on "low tech" equipment. There was nothing else at the time they learned. They have a tendancy to stick with what has worked in the past.