we have a ways to go before it being in everyone's home.
Also, It probably won't be gaming companies doing it. There will probably be a couple mega corps that rent out compute capacity to vendors, who then use that to build and host their stuff, then charge their customers a subscription fee to use it.
This is already happening in big ways, and spreading rapidly. Just not so much with games yet.
Big corps have wanted to have all computer use be dumb terminals connected to a mainframe for decades. I imagine they've always disliked the PC, for the same reason a bus company dislikes private automobiles.