That is not spanking at all. That is just so far over the top that it defeats the purpose.
As a parent of 4, I can tell you that some kids respond to taking something away, some respond to a stern look and some only respond to the immediate form of discipline that comes from a spanking (swat on the rear end). It is about knowing your children, understanding what will work with each child. I have a son that only responds to immediate discipline, I have a son that if I look at him with a stern look...he stops immediately and asks what he is doing wrong so we have a discussion about it...it just depends. The key is not loosing your cool.
I will however, say that, I did as a child get the "BELT" from my father. I did get the good ole' State Fair yard stick from my mother. I used to think the only reason we went to the state fair was to get several yard sticks because she broke 5-6 a year on my ass. And I turned out just fine. Not saying it is OK to do this today or that this video is in anyway acceptable. I am only saying that our kids are stronger, more resilient and able to deal with more than one might think.