It depends on the game. But a game like GTA and Skyrim needs to have a hook for me to care about doing any of the open world stuff.
If the story isn't good, then it has to have really good stuff to do in between story sequences. Very compelling gameplay or environments fun to navigate, like the inFamous series. Stories are average at best in those (except for the first game which I thought had nice plot twists), but the gameplay and traversal elements make the games very fun to play.
But usually I eventually lose interest if I don't care about the story and its characters.







