It's not cognitive dissonance, it's the fact that most people see their phones as closer to general purpose computers than they do their video game consoles.

And that's not crazy. The variety of things you do with your phone is far wider than the variety of things you do on your console. With a console you pretty much just want to play games and maybe use it as a video streaming machine so you don't have to get another device for such a simple function. Compare that to your phone, whose usefulness as a device for making calls has been marginalized, and usefulness for just about everything else has exploded.