Draining any fluid from a vehicle and failing to verify and refill it is a major flaw in a shop's operating protocol. I'm willing to bet they operate like many other average shops: rush it in - rush it out. This likely wasn't the first time it happened, and it won't be the last. I guarantee they haven't learned anything from this, except perhaps to pat themselves on the back for fixing their own mistake.
The shop owner was never honest about their mistake, choosing instead to misrepresent it by saying, "we put in the wrong fluid." Even with ATF, GL-4 MTL fluid, or motor oil, that differential would have been fine for quite a while. Unless you put water, gasoline, diesel fuel, or air in that differential, most other fluids will keep it functioning. This is a shameless attempt at self-promotion. I would have just kept quiet. If the vehicle owner wanted to post about it online after the shop made it right, that would have been their choice.
Just my two cents.