Boy, you guys are hard on people who pull trees out with cars! The ones in the video didn't do it right. That's all.
First, you pick smaller trees and a better vehicle. I had to remove five, 20' red cedars which had been planted around the foundation of my older house on a corner lot in town, and they had grown up and out, making a mess. I wanted stumps and all gone, so I waited until the day in late winter I figured the frost had let go of the roots but remained hard in the ground below. Then I backed my 4Runner up, attached a 1" poly tow line around the base of the tree and looped it over the receiver hitch -- not the hitch ball. In 4 low I rolled forward in 2nd gear. Out popped the tree, roots and all. I had soon formed a windrow of cedars on the quiet side street until I could get my trailer into position. Two trips to the municipal dump and the job was done. No damage to the lawns or the 4Runner.
On another occasion my wife and I removed a 30' section of cedar hedge with a golf cart.
So the devil is in the details.