Exactly, and I do think the tinkering of the execution part is an important part of the creative process. A lot of requirements mismatch becomes visible when implementing.
We don't ask artists to describe the painting and let someone else do the execution part. Working with the pigments, and seeing how they interact on the canvas is important for getting a good result. An intermediary would be detrimental.
In music maybe there's such a thing when you have somebody who can sing well, that has a team of songwriters doing the creative work.
Maybe the question is what other jobs rote learning is good for. I think there are enough jobs that don't ask for creativity, but instead require discipline.
And as with all things, there are probably shades of grey in between. A mix of discipline and creativity might be better than the extreme for many jobs.