I've figured out the problem, and added a description of it to the upstream bug. For now, you can get around the issue by mounting with the option umask=(YOUR_USER_NUMBER) instead of umask=000 (probably umask=1000).
-- gedit error "Could not create a backup file" when trying to save a file in a VFAT partition https://launchpad.net/bugs/69184 -- ubuntu-bugs mailing list ubuntu-bugs@lists.ubuntu.com https://lists.ubuntu.com/mailman/listinfo/ubuntu-bugs