... I mean, I don't see how we can't already accomplish the "PC" part now.
People are already setting up machines in their living rooms and then playing on their PC, and quite a few games are getting steady PC ports. So this prediction that this will happen in 2-3 years, unless referring specifically to the casual market, is already 'late'.
As for phones... eh. There are still nuances to console gaming that the mobile market has yet to figure out, like dedicated controllers. Nobody wants to play a game like BoTW, for example, on a touch screen surface with no physical buttons.
Will we see expansion of streaming from machines to TVs with steadier video and less input lag? Probably. But we're not going to see that supplant console gaming, per se.