SCALE: The life and times of the AGPL

My (admittedly quite literalist) reading of section 13 of the AGPL leads me to the belief that modifying an AGPL'd web server precludes allowing direct download of non-textual data via external links; any request for such data without a local referrer header would have to interpose some kind of annoying advertising page:

if you modify the Program, your modified version must prominently offer all users interacting with it remotely through a computer network (if your version supports such interaction) an opportunity to receive the Corresponding Source of your version by providing access to the Corresponding Source from a network server at no charge, through some standard or customary means of facilitating copying of software.

(I'm assuming "downloading a binary file via a manually clicked deep link from outside" is interaction. I am, of course, not a lawyer, and this is not legal advice.)