I wear muffs or ear plugs when I'm shooting on the range, however I've never worn them while hunting. I've taken a lot deer and other game with my .44's I don't even remember the noise in those situations
When I was in the Corps, they gave us cotton to plug our ears on the range, guess that dates me huh?
When hunting with my 500 S&W mag. I do wear plugs, the kind that you hear normal sounds, but they close up on loud sharp noise.
I took two deer using the plugs and my 500, no problem