I'd be curious how it handles someone parking poorly in that bay e.g. diagonally. Presumably those lines serve as a parking guide and the door won't close unless you park correctly.

The local car wash has lights that help you park the car pretty precisely under the wash robot. No rails or anything, you park right underneath the robot and it moves around and over the car. The robot doesn't start until you are in position.

IMO this would be a terrible idea to let the robots park cars in the same car park as humans. They most likely have a dedicated car park for this where ever car is parked by a robot.

The article says:

"A Stanley Robotics autonomous parking robot then slides underneath the vehicle, lifts it by its tyres and transports it to a secure storage area."

Which seems to suggest this.