Google of today is a collection of disjointed silos which don't work well together or they work together at all. The leadership of those silos is being aggressively staffed by "industry veterans" VPs and SVPs from Oracle, HP, Motorola and alikes. These folks build their little empires, not products. NIH spreads, internal "competition" starts, etc. This story should sound familiar to more experienced people from Microsoft... they've seen this development phase, they know what I am talking about... Microsoft's name for that was "IBM", Google simply calls that "Microsoft". And when you hear "We are not THAT yet" and people have need to say it, you probably turned into THAT.
Anyway, The idea of Chrome being so aligned with Youtube - over such minor gains over Edge - would today be just a wishful thinking. Until some major, major restructuring and changes to their recent corp "culture", Google will simply remain incapable of driving waaaaay more important product development changes across its product surfaces than this.