Generally something like this is from an over correction by the driver. You have to remember inertia is very hard to overcome. The momentum of the car is to the right in the video and off the track, so you must play with that momentum with caution. My general theory for going off is that there is little grip in dirt or grass so if there is room just go with it and get back on with less speed in a situation you can deal with. When I lost the right front wheel in a left hand long sweeper all I was saying to myself was don't turn the wheel and ride this out. I though I had blown a tire and didn't know the whole wheel had left the house until I got out of the car. People watching me said the car almost went over, I had no idea because I was focused on one thing. Slow it down and don't make any sudden movements of the steering wheel.
What the Cayman driver did is sometimes called hooking it. With the turn of the wheel trying to get back on the track he had grip on the LF which pulled the car to the left transferring weight to the RF then causing the RF to catch the edge of the tire into the soft dirt accelerating the car to the left.
Bobby Rahal has a good site for driver education that has a lot of good videos at
https://safeisfast.com/
I also can recommend Speed Secrets by Ross Bentley and anything else Ross has produced for driver training. He is one of the best. BTW he is the mind behind the Garmin Catalyst which has the logic to help you learn from your driving in real time on the track. I can recommend this device as I have seen it improve drivers.
I have read a lot of the books on driver and car improvement and have an ex-pro driver coach. All he does is critique my bad corners all weekend and it works for me. Not everyone is a fan but it's what I need.