story
I think this is the most convincing argument, but, I think that some data doesn't care if it is not confidential. The weather is perhaps more pointed, but I think for large protected binaries (either executable or inscrutable, e.g. encrypted or sig protected archives), its a bit moot and possibly only worse performing.
However, also remember that https does not protect all data, just the application portion - adversaries can still see, map, and measure traffic to bobthebaker.com and sallyswidgets.biz. To truly protect that information, https is the wrong protocol, you need something like Tor or similar bit mixing.