Right now Microsoft, through the Xbox Play Anywhere strategy, and Sony, to a certain degree*, but especially Microsoft is _exactly_ doing what Valve wants and supporting Valve in what they want: get Steam deployed in as many households as possible in as many form factors as possible.

It never was about the hardware, but all about the service. You'll see.

*) By allowing previously Playstation exclusives onto Steam, which means that when you have a Steam compatible device you can play all the Xbox, Playstation and PC games you want. As an example, Stellar Blade -one of the best selling Playstation exclusives last year- will be released on Steam in a few days.