Ask and ye shall receive... Paul is correct, Joe Ralat got in touch with me and confirmed that these elements are tambour panels from Outwater Plastics Industries which makes a lot of architectural products. Joe has blueprints from Voyager and Star Trek VI that specifically call for the product code #371A that you can see on this catalog page:
You can see that it comes with the metallic finish and black grooves, ready-made. It says that it comes with a satin or brushed finished. Does anyone have an opinion on which is used in the reference photos?
Here's an image from ST VI in the dining room set where it's used on the walls:
By the way, even though this seems to be the right manufacturer, there are other sources for metallic tambour, such as this:
This has gotten me thinking on other things too. I wonder if these Ten Forward doors were made with a different version of a tambour panel.
Thanks again to Joe Ralat.