It depends on how they towed it. If on a tilt tray, no problem. If on a hook, it depends on whether it was towed with the powered wheels (back wheels for the MG4 models) on the ground, without a dolly.
They also would not be able to undo the parking brake, and there is probably a parking pawl in the motor. So my guess is that they would not leave the rear wheels on the ground.
The problem is that without your key fob, they can't get it into neutral, so spinning the back wheels turns the motors into generators. Above a certain speed, the generated voltage becomes higher than the battery voltage, so the motor attempts to charge the battery in an uncontrolled manner. This will cause significant drag on the tow vehicle, so perhaps they'd notice and realise that something is wrong. The uncontrolled current could cause the motor controller to burn up, probably blowing the main battery fuse. This will not be wonderful for the battery, but it should survive OK.
The bottom line is, if you can drive the car away, then it has likely suffered no damage at all.
The bad news is, in the unlikely case that the car doesn't go to ready for you, it's going to be an expensive repair; at a wild guess, thousands of pounds. And of course, it will need another tow to the repair shop. And of course, you get to argue with the council about who pays.