Would you not consider Braid to have put writing front and center?
Not really, the writing is sectioned away from the gameplay and easy to skip over unread without missing anything relevant to the main event, the puzzles. It's not good but its unobtrusiveness made it easy to forgive. Judging from this trailer the characters will be yapping to themselves and each other during gameplay though, so it had better be well executed, especially if they end up talking a lot.
The writing of Braid wasn't fantastic imo. But the game really spoke for itself.
It's been about 15 years since I played it, but I recall the writing in Braid being memorably shallow, clumsy, and pretentious (with the grand twist at the end being that they guy who spent the whole game acting like a clingy stalker was actually a clingy stalker this whole time).