Parker's material reveals part of the answer.
Some of those 53 tanks were not left behind for lack of fuel but for lack of a recovery vehicle. That would include a number of the tanks knocked out by US TD's (which they would have claimed as a "kill" since they saw the crew abandon the vehicle they'd just hit. The crew likely abandoned because of a mobility issue and not wanting to fight in an immobile target -- that fact that it was recoverable and could be returned to service with a few hours labor would have not made the TD crew's report). Perhaps there is a good element of truth in the claims of both sides.
EDIT: [Bragging] Please note that my thanks for this post comes from our resident trained tanker. Who probably had to check the tracks every time his track paused for longer than a gear change and who had to know EXACTLY how those kraut tankers would have reacted to being immobile while in somebody's gun sights. [/Bragging]
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