I have a 8" tablet with atom and win10, it runs steam. You can steam games from your pc, but it lacks proper controls.
If you have a wireless controller you can actually play directly on your PC, view it on the tablet. But if you're so close to your pc, why bother in the first place (as steam also shows the game on your monitor, not like someone can use your pc for something else).
The tablet can actually (barely) run battlefield3, but you still need a controller (or keyboard/mouse) to play.
So when a tablet has these controls added, it could be a suitable solution for mobile gaming.
Streaming however, it's nice, but you can only do it at home for now. Maybe if 4G is fast/cheap enough you can do it while traveling in a train, but might be to laggy.