Yes, it triggered a GET for /. But that generated HTML (usually the service's homepage, as was our case), which the browser would attempt to parse as an image, obviously failing. It would not trigger a recursive fetching of all the resources on the page. Even without recursion, it already inflicted major damage, because our service's homepage was dynamic, while the resources linked from it were mostly static (and thus a lot cheaper, as well as cacheable). I think I would have noticed if it multiplied other traffic, not just the homepage.
This was the bane of my existence for many months. Every few weeks I would have to fire up Dremel and try to figure what was causing the spurious page loads. I hated and still hate SQL, so that was no fun. I knew when it was time to investigate thanks to our human monitoring system: our PMs would get excited or puzzled by a sudden jump in the page view dashboards. (They lived by those graphs...)
Thank you Chris and co. for your contributions in killing the browser version from hell.