I very disagree. How much writing is there in Chess? Can you think of any writing in Quake? You can definitely consider Quake great without the being any writing involved at all.
I think writers should stick to writing and game makers should go picking and choosing stories that would suit their game.
Yo, holy moly! They basically did with quake how I just suggested by making a game and slapping a story on afterwards!!! How TF did I come up with quake as my example for this!?!?! It's either pure luck or actual shared vision!