The correct idea is that, although the orbits are shown to scale, the planets are drawn much larger than scale so that you can see them at all.

In other words, if the video really kept both distances and planet diameters perfectly to scale, the planets would be so tiny on the screen that they would look almost microscopic compared to the vast size of their orbits. So the accurate statement is:

The planetary orbits are shown to scale, but the planet sizes are greatly exaggerated relative to their orbits so they can be visible in the model.

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