I see. My data points so far are:
1. Firefox, with noscript and adblocker and 3rd party cookies blocked (noscript was manually set to allow all scripts when I was shopping), on OSX: didn't work.
2. Firefox, with only 3rd party cookies blocked, on Debian: didn't work.
3. Chrome, with only 3rd party cookies blocked, on OSX: didn't work.
4. Chrome, with only 3rd party cookies blocked, on Debian: didn't work.
5. Chrome, all cookies allowed, on OSX: outcome pending.