hey steve,
the way you took out the number panel behind the screen works - and is easier - but you need to be careful not to scratch the ink on the back side when wiggling out the panel.
the paper stapled in the game says to pop open the latches that are covering slots in the upper and lower screen track and remove slats from the track.
to do that, it's easiest to hold in the screen index arm and just grab the screen with your fingers in the holes. Drag the screen left (looking at the back side of the unit) so the end slat pegs are at the now-open notches and lift the red slat out. Drag the screen right and keep removing slats. You have to lift up the screen end to clear the relay bank, and wind up with something like the image below.
the idea is to make the orange end of the screen move to where you show it in your pic - over the rightmost column or two of numbers - but not have the red end of the screen coming in from the left. Just don't drag the screen past the rightmost column of numbers - you'll put a lot of stress on the wiring on the screen unit wiper plate.
the non-OK games have less screen slats, so there's no track notches and your write-up is the method for those....the slat gap is bigger and lets you get the number panel out easily.
golden gate/silver sails are exceptions - they have slats all the way around and you need to remove a section of slats that are screwed in place.