I vote "yes". It might help to provide more identity continuity for the car throughout its lifetime...
When they answer the phone at the plant in Bowling Green, they say "Corvette", not "Chevrolet". The only corporate logos you'll find there say "GM". The argument could easily be made that the car is now built by GM, not Chevrolet, and that its only current connection to Chevrolet is purely for marketing purposes. Somewhere along the line, it appears that the Corvette kind of went corporate...sort of like back when the engines all went corporate. GM probably won't ever officially go through the trouble and expense that it would take to formally make Corvette a separate division...especially in the new industry climate of "less is more", but it's halfway there anyway.