Quote me saying that please, I will wait here. It's just as completely illogical to assume that I assumed so when I never said that. Videogaming is first and foremost INTERACTIVE entertainment. A story can immerse you but if the gameplay doesn't offer the core experience, you either become a mere spectator or the gameplay will break that immersion that a great story could give you.
Ladies and gentlemen, contender for Game of the Year 2013 - The Last of Us
I do. I love Phoenix Wright (and the gameplay, although apparently simple, suits the story as it should) as well as other story-driven games like Walking Dead or Heavy Rain, but if the gameplay is not even, well, playable, why should I bother to, well, play? I would rather just YouTube cutscenes of those games instead.
Oh yes, that's right! I did that, for Sonic Free Riders (which the story wasn't all that either but still proves my point, because what if it had been?).
Edit: Another contender for GOTY 2013 that, while it contains one of the greatest stories I have ever seen in gaming, ended up giving gameplay a backseat is Bioshock: Infinite. I love that game and I would play it all over again, but using the same fucking, cheap life ghost boss on 3 separate occasions with no variation whatsoever, and a lack of encouragement for varied weapon and vigor gameplay really hold me back from calling it a masterpiece.