It's not much of a solution. I'm at work so I couldn't listen to the video, but I watched it. It seemed like he managed to capture what the car looks like (kinda sorta), but what is really needed is something that can reliably capture the license plate.
There was one frame in this video where the license plate was sort of visible, but not readible.
But still, I think the cyclist simply got lucky that he happened to catch the license plate on his camera. I mean, when you're falling off your bike, the last thing you're thinking about is to get a recording of the car.
Perhaps a bike or helmet with both front and rear camera sensors? That way you'll usually have some footage of the car's approach, though in low light it probably wouldn't help very much.
There was one frame in this video where the license plate was sort of visible, but not readible.