The date discrepancy could be because the truck was a dealer demonstrator. When a new vehicle becomes a demo it is considered to be “in service” and the date it becomes in service is when the warranty period starts.
Anyone who buys a demonstrator is not technically buying a brand new vehicle; it’s a used one and the date it enters service as a demo is the same as if a customer off the street walked in and bought it.
From Toyota’s point of view they would look at it as where does the exception making stop? Giving someone 55 days and someone else 87 days leads into 180 days, 3 years, or what have you.
I’m not taking one side or the other here; just pointing out the why.