I'm a pc gamer as well, but the reason why my proposed setup would be ideal is for when I have friends over all partaking in a game at once, like WWE 2K16. I'm trying to get a game night going for the boys.Honestly, I don't know. I'm a PC gamer...I don't even have any games on my phone.
I would say there are challenges to streaming games across a network that impact both Steam and Nvidia's Gamestream...even an ideal network won't feel as good as playing directly on your console or PC. That's a niggle that's always going to be there.
If you have spare hardware or a laptop available, I'd say try Steam home streaming out and make up your own mind...the lounge machine only needs to be powerful enough to decode an X264 stream.
So that's why I'm so eager to see if this will be a smooth option instead of carrying my pc to the TV every time people come over.