I can attest to this. Just going three days without reading something and it affects my writing. There is something about moving your eyes along words and text that builds this rhythm and flow for writing. Not to mention the information and knowledge you have in your cognitive reservoirs.
Furthermore, your correlations between writers and musicians and writers and athletes make so much sense. We grow in our skills.
Great article. I truly enjoy it when an article is personal and informative. Awesome work.