'65 Barracuda Interior moldings under rear window

When purchased, my '65 Barracuda FS did not have a plastic molding over the center rear support member for the rear glass. It only had the plastic covers in the bottom corners (see picture). I have been under the belief that there was no plastic cover for the center piece, instead the center steel piece was just painted interior color, allowing air to flow through the open vent slots. However, in studying interior pictures of some, not all, but some, I am seeing a cover of sorts that has several round screens allowing air flow. I'm starting to think there was a cover over the center section. My car is an early production (12/4/1964) built in Los Angeles, could it be the cover was added later in production, or is mine just missing? I could not find a cover in the parts book.

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