Chromium crashed during my first attempt to download the show and then I ran out of free disk space the second time (yeah, SSDs are a bit too small).
Anyway, my point is that starting a download and then only getting a couple of MBs shouldn't really count as using a download slot. On the other hand, I don't know if it's possible to check how much data has been transferred using existing technology. He seems to be using Amazon CloudFront.