Thanks a lot Mike! Your example gave me enough courage to press those springs harder. I had never taken out a pressure plate before.
The plate is held exactly like in your camera. However in my example all four corners of the plate are cut out. The plate is completely symmetrical as far as I can measure. The slots in the springs look a bit longer than yours.
With those long slots there has to be some sliding movement. I have to move the plate all the way opposite to the hinge side if I want it to cover the film gate symmetrically. This I will try next time. Maybe opening the camera in the dark in mid-roll and trying the other extreme position, for the sake of experiment and to confirm or discard the issue.
Just out of curiosity, my serial number is 1587xx. Is your Konica III earlier or later than this one?