I play with scratch to hcp 2 golfers every month. They can hit it a mile and scramble most of the time it is needed. But they are not even close to hitting it like a pro.
Our clubchamp from two years ago was a +2/+3 hcp. He started playing pro golf starters level pro, two divisions below the European tour. This year he made one or two cuts on that level. His ballstriking is a lot better than the scratchplayers I know.