PC gaming is not here to stay. One day, someone, will finally do a cloud /saas streaming solution which works, which solves the latency and fidelity issues and which will be accepted and trusted by the masses.
Hopefully that will be a Valve solution. Not Nvidia, MS, Google or Sony.
From that moment on the client will not matter anymore and you will just stream it to your device and from there cast it to your big screen.
Hopefully I'm full of shit and this will never happen. But I'm afraid I'm not.
Latency is a non issue if you make the service even remotely decentralised. One server per EU country is enough to push the latency below 50ms, which is more than playable, even for shooters and MOBAs.
Fiber internet was invented around the 80s. I only got fiber installed at my house a month ago. Most homes around here still have expensive low bandwidth cable. For cloud gaming to actually work you would need to upgrade the world's internet infrastructure to an incredible degree. This article highlights the issue (in the US, one of the most developed countries)