Surface to volume ratio - nonsense?

I read an article recently that seemed to claim that for any given platonic solid, the ratio of surface area to volume changes with size - the ratio decreasing as the insphere diameter increases. I can't see how this can be possible. Surely it's just an artefact of the scale used, and the way we express volume and surface area? Especially given that a sphere that is 1 foot in diameter has a different surface to volume ratio to a sphere that has a diameter of 0.3048m.