Every attempt to mobil-ify desktop OS has resulted in a train wreck. The chance of it happening the other way round is practically nil.
They're totally different tools, despite the hilarious media narrative of the "death of the desktop", with images of smiling office workers slumped in a hallway fingering tablets.
In 10 year, even when mobiles are embedded in your arm, or your eyeball, with induction charging though coils embedded in your arse, software will still need to be written on something strongly resembling today's desktop. I also predict nobody will start a new desktop OS kernel from scratch in the next 10 years, since there's already a bajillion man-hours in linux.
TV and white good companies aren't in the software business, so they'll write as little software as possible, it will be the shitiest code on this earth, and probably infringe the GPL.