I've attached a gif of the screenshot from J32 showing what I meant.
I notice that the backup program saves the JDownloads version as well - it may be something you want to change.
I checked my backup file (modified) which shows version 1.8.2 856 and then your version (fixed) which shows 1.8.3 (860) so you must have loaded it into your own J15 version 1.8.3 (860) version and then exported it from there.
Anyway, no problems. Thanks for that.
As to where the problem lies, you'd know better than I - all I know is that with a clean J3.1.6 or J3.2.0 install I repeatedly couldn't get either jUpdate to restore the standard Joomla articles nor jDowloads to restore the backup.
I appreciate your help as it has saved me much time, and will get that review and additional donation through. I just wish you knew what the problem might be and that it would solve my jBackupPro issue as well :-)