Well, the granny lead definitely locks into my MG4 SE SR. Even if charging has finished it stays locked until I unlock the car. So there's definitely something wrong with the OP's car.
If you start a charge and lock the car, then realise you left your phone in the car (who, me? asking for a friend), when you unlock the car to get it the charge will abort. However it will (should) restart once you've relocked the car. Worth checking though. I unlocked mine twice one night, once to get my phone and once to get my house key, and it was only when I was in the house and thought to check the app I discovered the car was not charging. I was able to start it with the app though, didn't have to go outside again.
Yesterday (first time using the Zappi) I went out to disconnect when the car had finished. I unlocked the car (so I thought) with the door button, but the Zappi plug wouldn't come out of the car. I thought, maybe I have to unlock it from inside the car. That was when I discovered the car was actually locked. I must have left it unlocked when I started the charge from the car's infotainment screen, and locked it when I thought I was unlocking.
I don't know if the plug would have pulled out if I hadn't inadvertently locked the car. Nor do I know if it would have pulled out during charging, from the unlocked car. But for sure, locked car should be locked plug.