Ok. I've worked out what the "pressure plate" mechanism is. So I originally thought that the pressure plate was the black thing that pressed against the film. In part, this is correct. You see that this plate is mounted using two screws, on springs. If you take the screws out (be careful not to lose the washers), you will remove the plate and you can see that the plates sits on a metal tab. This tab is "released" when the film is advanced. When the lever is returned to the original position, this tab is locked in the up position so that the plate cannot move once it is on the camera.
I noticed that my plate was not moving at all before. But now that I have taken and replaced the screws, the plate can move quite a bit before mounting on the camera. After mounting, it is held in place, until the film advance moves, where there is a bit of give.
I suspect that my plate was incorrectly mounted on the screws?