[steve86]

“A forklift might even be able to flip the car to get it to roll off the road”

I have seen a tow truck (in a picture) that had an integrated forklift-type mechanism that would fully lift a vehicle just like a hydraulic lift in a garage ... And move it to a place where the winch could be used to pull the vehicle onto the flatbed.

[steve86]

And/or while the EV was in the air dollies could be placed under the wheels.

[Carl Vehse]

Here's a YouTube video of a truck using a crane to pick up a car and put it on the flatbed.

"I have seen a tow truck (in a picture) that had an integrated forklift-type mechanism"

That can be seen at 01:07 in the above video.