You need a different bottom plate that has a diamond hole instead of round. The jury is out color, but all the 4 way stick bases I've seen are grey. Keep in mind a previous owner might have drilled the 4 way diamond into a round hole for 8 way. The actuator is smaller for a 4 way stick.
Just wanted to say thank you for this video. It's got some top notch information in it. Was recently needing to confirm things about what joysticks I have to complete a few projects and it really helped.