I voted "No" because I don't really care what my golf teacher can shoot. The lessons I take are about how to swing a golf club, not how to play the game of golf.
The teacher definitely needs to know how to swing a golf club, though. At my current level of ability, they need to have a better swing than me. Eventually I might get to the point where my instructor does not have as good a swing as I do . .but not anytime soon, lol.
You have to be able to do what you're trying to teach . .you don't have to be the worlds greatest but you have to be proficient. On top of that and more importantly you need the skill to teach. But I don't care how skilled a teacher he is . .I'm not taking lessons from a guy who hits it fat or slices all the time.