I cannot speak for the Steam console and I don't care about playing PC games on my phone: it's not the form factor for me.
But I'm really grateful for Valve and Steam.
Increasingly, more and more Windows-only games "just work" with Linux (or work with minor tweaks taken from ProtonDB).
I bought a Lenovo Legion a couple of weeks ago and I'm having a terrific experience with Linux+Steam so far. I don't claim to play the latest AAA games, but I don't feel the need to live at the edge anyway.
One game that has resisted running so far is Space Marine 2. Eventually I'll get it going. Some people report success.