Yeah, those lines are also there in all the Cave Story 3D promotional art (at least the North American version).
I've always preferred Quote without those lines descending from his eyes that look like the trajectory of tears. They seem to be meant to make it more obvious that he's a robot, but it's not an artistic move that really appeals to me. I also don't particularly like the depictions of Quote that give him really weird body proportions (like his model in Cave Story 3D), and I also don't really like the art that depicts him as a teenager or adult. To me, the definitive art showing Quote would have to be the credit art images.
And in my opinion, the most accurate promotional art was this picture which I believe was promotional art by NICALiS for Wiiware port back in 2009: