Well, if we're talking about how I'd do things if I wanted a console experience then streaming is the way to go. MS have it the wrong way round though. The power, as you say, is at the PC end so there is no benefit in streaming from a console to the PC.
Consoles are for households that don't have a PC. If there is a PC then better to stream from the PC to the TV. I can do this via Steam to my tablet or laptop plugged in to the TV.
To do this very cheaply however, go to Steam and preorder a Steam Link and one or two controllers. You can then leverage the PC's power to play games on your TV and you'll never need to buy another console again.
It seems pointless, to me, to buy an Xbox or Steambox etc. if you own a PC when much cheaper solutions are far more powerful.