I don't know enough to say with certainty, but I don't think it's that simple. The way I understand it, the script that loads Adsense does/did so at the end-user level when their PC loads the HTML and executes the script in their browser.

For what you are saying, I think it would be necessary for the original request to come from the site owner to pass through to the end-user, which I don't believe is the case. If that were the case, ad-blockers would have a much harder time determining the source of the content.