This is a good and reasonable suggestion that occurred to me, too. We've only got one person working on sleeping on feature requests, though, so I wouldn't count on this happening too soon.
Luckily, this problem is more or less solved if you install the CYS browser extension here. You'll see comments on your storygames on the "My Stuff" page if you click the tab itself. It doesn't handle notifications for those comments, but you won't miss comments as badly as you would if you had more than 1 storygame.