Yes, you are correct. This phenomenon can be explained by the principles of angular momentum. Angular momentum is a measure of the rotational motion of an object, and it is determined by both the mass and the velocity of the object. When you hold a spinning wheel on a rotating platform, the wheel has a certain amount of angular momentum due to its mass and velocity.
When you turn the wheel upside down, the direction of its angular momentum changes, but the amount of angular momentum remains the same. This change in direction of angular momentum causes a torque, or a rotational force, to be applied to the platform. This torque causes the platform to rotate in the opposite direction of the wheel, in order to conserve the total angular momentum of the system.
This is similar to the concept of a top. When a top is spinning, it has a certain amount of angular momentum. This angular momentum helps to stabilize the top and keep it from falling over. When the top is stationary, it has no angular momentum, making it easier for it to fall over. This is why it is easier to keep a spinning top balanced on its tip, as the angular momentum helps to counteract the force of gravity.
In summary, the change in direction of angular momentum causes a force to be applied to the platform, resulting in its rotation. This is the same principle that allows a top to stay balanced when spinning. Understanding angular momentum can help explain many other phenomena in the world of physics.