With video, it's pretty easy to evoke emotions. I've seen movies, short clips, music video, animations etc that gets so emotional it would make people cry. Is there something similar with photography? I guess it's exponentially more difficult with such one frame?
I think the advantage that you're seeing is that video has the opportunity to setup the context for the viewer that will later be used to evoke emotion that photos cannot do. For example, had I seen a single frame from the ending of the movie The Blind Side where he's being drafted I wouldn't care in the slightest, but after having seen the movie I knew the context and had a better idea of what it meant; it was more moving (figuratively) because of the backstory, not because that particular scene was moving (literally) and not frozen. If you know your audience it can be easier (in motion or stills) to evoke emotion from them.
I would imagine there are many crime scene photos that make the surviving families cry, many wedding photos that make widows/widowers, etc. I think that even if the photos were videos instead the impact would be the same because the context is the same.