I think the difference here is that code is effectively a description, so there is an extremely tight coupling between describing the task and the task itself.
You could tell me, in the most painstaking detail, what you want me to paint, and I still couldn't paint it. You can take any random person on the street and tell them exactly what to type and they'd be able to "program".
That's just picking nits with the metaphor. Change it to a poet or a novelist and it works the same. If you tell a person exactly what to write they are just a fancy typewriter, not a poet or novelist. Same with code.
You could tell me, in the most painstaking detail, what you want me to paint, and I still couldn't paint it. You can take any random person on the street and tell them exactly what to type and they'd be able to "program".