There’s a difference you know – and one is not dependent on the other.
You can have something very low in fidelity and very high in fun.
Case in point – The Incident for iPhone.
It harkens back to the days of NES. It’s pixelated by design, despite the fact that the new iPhone 4’s screen is 326 dpi. It doesn’t matter. A lot of time and effort went into making it fun.
Now the makers of The Incident are porting it so that it can be played on your TV using your iPhone as the controller:

You hear it a lot in the world of design, but it’s true – constraints can be good.