What was the path from the body to ground? Hard to tell from the video, but there appear to be some sparks under the car. Does the radio still work?
It could be arcs across the air gap from metal to ground, going around the rubber tires. Lightning certainly has the voltage needed to jump across those few inches. For those who missed them, see also: Gen 2 versus lightning bolt | PriusChat Risky high-speed charger | PriusChat
Someday somewhere long ago I read that the carbon black in tire rubber compounds made the things more conductive than you might expect. Here's a paper about 'green' tires being somewhat less conductive on account of replacing some of the carbon black with other stuff.
The current need not have passed through the tires, there is more than enough voltage to cause dielectric breakdown in the air and jump straight from the ground to the car body, but a path through the tires is possible, as the rubber too is beyond its dielectric breakdown limit. The OP should carefully examine the underside of the vehicle, and especially the tires, to check for damage. Lightning and Cars