Well, due to light scatter, matte papers have lower dmax than glossy papers. The same can be said of film, but in the case of film I would not expect such a difference because you have a source of light and a detector and the path is straight through. With paper, the source and detector are on the same side, and therefore the multiple angles of return can affect density.
Here, we may see an old instrument which is reflecting some light back to the source depending on orientation and due to slight misalignment. OTOH, the instrument may need a slope adjustment for Dmax and Dmin and the problem will go away. Slope just means recalibrating both Dmin and Dmax to equal a certain predetermined value. In this case, you would have to know the factory "settings" for the step wedge produced by Stouffer.
At EK, we had ceramic blocks that were calibrated for reflection density, and we had cast carbon blocks for transmission density. These were precisely measured and allowed us to preset slope and calibrate the entire density range.
OTOH again, we read with emulsion towards the light source IIRC.
PE