As I recall, the Mustang comes with a black box that electronically stores all sensor data for a few seconds. If there is not a violent event, nothing is retained. They could install one with a long record time, or one that will do a minute or two, and has a 'panic' button that will stop recording when you tell it an event happened.
And the problem is consistent with every manufacturer and model with a traction control system. With that many sensors put in cars, a few of them are going to be glitch prone.