I have seen many jack plates over the years and I do not see their purpose. With my little jack I just remove the cup so it will slide under the car. With my big jack I remove the cup and use a piece of wood.
What is neat is this yellow jack pad. I has a pin on each end. When the weight of the car is on the jack the car is pinned to the jack and the car cannot slide off the jack. It is also good for cars with side skirts. I wish I would have thought of this jack pad because it does good.