Since it seems to be misunderstood; I just thought I'd inform you that the term "Social Justice Warrior" is a sarcastic one.
Its how some people might call an invading for "liberators" sarcastically.
I didn't watch the video and I don't plan on jumping into the discussion on the topic at hand but I thought I would help clear up a bit of the apparent confusion on the actual meaning of the term.
I can assure you that there are many people that use this in a derogatory fashion, much like calling someone a liberal or conservative as an insult. To them, this term is not at all sarcastic and much like "White Knight," is an insult on par with any racial slur you can throw out.
The only people using this sarcastically or in a humorous manner are the people that would be labeled as a SJW.