I figured since the C5 wasn't I would do it the same way. I think a 98+ Firebird style front lip would look out of place. If you look closely you can see a slight bevel along it and the outline is slightly darker than the body panels indicating in my opinion flip ups. Any darker or thicker and it starts to look odd. Tho, if someone wants to modify it they can.
If the new Vettes had pop-up headlights, IMO the cover should slide to the side instead of poping up like the Firebirds & T/A's, like the Jaguar XJ220's headlights do. XJ220s and C6 Vettes have similar looking headlights when open