Yep I agree with that too. In my lessons, we start from the smallest movements up. So it was first with the putter, and then with the PW for pitching and chipping.
When we proceeded to learn the 3/4 swing, it was still with the PW. But of course behind human we soon moved on to the 7-iron so we can hit some further shots

So now I am tuning my swing on the range with the 7-iron.