Do Nikon's DX format lenses scale up?

This month's Popular Photography has a review of Nikon's 55-300mm f/4.5-5.6G DX ED VR AF-S lens. In the first paragraph, they say it scales up to the full-frame equivalent of 82.5-450mm. Does it? I was under the impression that it was only FX lenses that do that on a DX body, not vice-versa.

The physical difference between DX and FX lenses is the diameter of the light-path, or the width of the glass within. It doesn't matter if the lens is DX or FX - on a DX camera, you effectively get an optical view that's 1.5x the marked focal length of the lens.

An FX 50mm on a FX camera is 50mm. On a DX camera, the same lens give you the viewpoint of a 75mm lens.

A DX 35mm on a DX camera gives you a 52.5mm view. On an FX camera, the image is cropped, but Nikon wisely has their full-frame FX digitals automatically adjust to the DX frame size for those lenses.

Yes, it does scale up. That's because that in spite of it being a DX lens, they state the focal length in 35mm terms. Stating everything in 35mm equivalency allows for better communication.