Parsing is made a lot easier now and seems to work with /file/$FILE_ID/* URLs at least for me.
I'm not sure if the other paths are still intact though. For a trial account upload I got only such URLs.
I left the other checks though they may be obsolete too by now.
Fixing failure from what seems to be obsolete parsing (file is 3 years old):
Parsing is made a lot easier now and seems to work with
/file/$FILE_ID/*
URLs at least for me. I'm not sure if the other paths are still intact though. For a trial account upload I got only such URLs. I left the other checks though they may be obsolete too by now.