http://bugs.winehq.org/show_bug.cgi?id=31438
--- Comment #2 from Per Johansson per@morth.org 2012-08-14 14:27:25 CDT --- There's no error in that log afaict (there's a bunch of WSAEWOULDBLOCK but that's not fatal). It actually starts downloading the file, the error seems to be in the part supposed to process it once downloaded.
The winhttp log prints the URL of the file it will download. I tried to download it manually but I'm not sure what to do with once home. In my case it's mass effect 2, I tried putting the zip as C:/users/Public/Application Data/Origin/LocalContent/Mass Effect 2/mass_effect_2_dd.pkg but that made Origin crash when I relaunched it.
Since there's some "Install in place" feature perhaps Origin unzips it in memory and writes the final files directly, not sure.