To my knowledge it is because the the oil and water needs the motor on to move through the engine and cool certain parts . If the motor is shout down to early a

To my knowledge it is because the the oil and water needs the motor on to move through the engine and cool certain parts . If the motor is shout down to early and those can’t circulate anymore following could happen -turbocharger overheats -oil overheats And the things you stated and much more … Better to let the motor run while standing is to run it the last kilometers in low rpm