I too would like this very much.
Submit feedback through the app, that's the best way to be heard for this kind of thing.
Yes please.
In the old Chromecast WE have a auotologin
and the best on my old Chromecast, If i Turn on my Controller, my TV and Stadia ist starting.
Whis Google TV i muss Start Fist TV and the Stadia App. Than i can start the Controller