It ain't a learned thing. You either feel it or you don't. When I watched it it touched me and when I looked it up and read the comments I found that it touched many other people similarly.
I read many of the comments on that video and while I can see that it was emotional I didn't know the myriad of things that made it something a few steps above a masterpiece. For instance I had no idea who the guy was that walked out, knowing it's the male dancer's dad (Mac) changes that part of the video in a gut wrenching way. Or the fact that the show is known for not doing protraying emotion. There many other things like that in this scene, I had no idea.
I won't watch it again anytime soon, I'm not ready for the inevitable emotional reaction.