I believe the older backup would continue to show the old name. When you do a recovery, you have to choose the backup date you want to use. And while I know there were a few back ups on DM's IPhones, from my understanding there was only one on the IPad. So basically, it was connected to DM's computer on July 4th and it was backed up at that time, probably with the old name. Then the next back up done in Jan 2013 had it renamed to Mark's IPad. Now we've been led to believe that this name change happened after it was connected in July 2012 but today we find out that they don't actually know if the name was changed at that time.
However it is noteworthy that all of the data on it from that time onward seems to be MS related. Right from the start. So Dungey suggesting that an email from 2013 claiming that DM gave it MS is not going to fly as to when he actually got it and started using it.
MOO