Need some help on rear window weatherstripping and install

Shouldn't there be some metal trim that covers this area inside the car? I had a 69 Cuda notchback at one point and could of swore it had a metal trim around the inside of the rear window, but that was years ago. My 69 Dart I do know has this metal trim inside.

I somehow still have the original rear window and original gasket for that 69 Cuda.