While shopping for my roadster, I skimmed over the problems experienced by owners. One of the issues was headliners falling down. I currently have a Sebring with a convertible top Headliner. So I had the impression that a convertible also had a Headliner issue. But this car that i just bought doesn't have one. I now I'm thinking , maybe they just don't have a Headliner. Can someone confirm?

If they were not equipped with a headliner, has anyone ever tried to add one to quiet down the car