Could gaming is an interesting concept, but you need to keep in mind that the VAST majority of the world doesn't have access to quick and stable internet on the go.

So I doubt we will see it work in large numbers for at least 20 - 30 years.
And perhaps not even than, if the hardware gets powerful enough, cheap enough and most imporatantly - power efficient enough that could computing in not needed for the tasks people want to do.

And there are services that allow you to do that even now, but they aren't really popular.