But the vast majority of video watched today (think Netflix) would not be on the web if it were not DRMed.
Philosophical arguments about what "video" "needs" are all very well, but the side that actually provides users with the content they want where they want it will be the side that wins, and very quickly.
You don't need EME "just to play video". HTML5-video without EME can do that just fine.
It is only when you conflate video playback with DRM then that argument somewhat works.