The idea behind the Vapor barriers behind door panels, was to help keep dust/particle debris & moisture to a minimum, for both at the back of the panel, and from reaching the interior.... Original Door Panels were also made of a Wood/Paper/Cardboard Media, that was covered in Fabric/Vinyls, and with the barriers in place, they would be the ones exposed to the elements instead of the panels...
Later panels became a combination of Fabric/Vinyl Covered Cardboard uppers, and ABS Plastic Lowers, with the Paper Vapor Barriers being replaced with a longer lasting sheet of plastic (Also to help protect any electrical switches)...
Most cases whenever a door is Repaired/Serviced, the first thing to disappear is the Vapor Barrier, as generally they are ripped or torn while accessing the inner-door...
As for how the barriers work in conjunction with the vents in the doors, usually there is a cut-out or flap in the barrier to allow the vent to work properly....