Yeah, the thing is that Chrome interests are inseparable from Youtube's, and unless they can force the media companies to let go of DRM, like Apple did to music labels, they need some kind of solution. And frankly, what's in it for them?
Apple uses DRM for subscription music, but not music you've paid for a perpetual license; why wouldn't Youtube use DRM (at the copyright owner's request) for music and video when you haven't paid them for a license?
No DRM yet, but Google doesn't allow YouTube downloader extensions in their Chrome Web Store (but allows downloaders for other video sites, how strange :-/).
Given that Google has been one of the biggest voices in favour of EME, that seems rather unlikely.