Looks like a new issue to me. I had to take the cover off a new motor to see how the pin is secured. I will attach a picture to help explain how the pin is held in "check". At the rear of the pin [rear side of motor, nearest carburetor], the boss has a flat spot to stop the pin from moving, nothing stops the pin from moving forward, however it appears the pin only wants to move towards the rear when the motor is running.
I also checked a Honda GXH50 test motor in the shop and it is made the same way.
Looks like the barrier allowed the pin to move in both directions on your motor.
I would think there are several easy options to fix the issue. Reconstruct the barrier on the head with anything from JB Weld to strong epoxy mixtures. A simple application of "sleeve retainer", Loctite green or any other high strength liquid where the pin sits in the guide hole.
Motor can be "short blocked" if under warranty [EZM motors carry a 1 year warranty].
Have fun,