I never heard of it either.
Focal length is a physical characteristic which is independent of crop factor.
Aperture expressed as an F stop is the ratio of the diameter of the aperture to the focal length.
For example, my bridge camera has a 220 mm max zoom and at that focal length, it's an F 4.0. I am taking Sony's word for this. My other long lens, also Sony, is a "full frame" lens 70 to 200 mm which I have used on both my a6000 (crop factor 1.5) and a rented a7R2 (crop factor 1.0 or "full frame"). The aperture must then be 1/4 of 220 mm or of 200 mm respectively. I have used legacy manual lenses (Nikon) on my Sony a6000 which also work as expected. I also used a 150-600 Tamron (for Nikon) in manual mode on both.
As for "equivalent" focal length, it's a misnomer. It's a popular way of describing a restricted
angle of view. For example, my Wife's Nikon P900 has a 357 mm lens, F 6.3 but an equivalent focal length of 2000 mm. The reality is that the center 6.17 mm is filling the sensor. The sensor crop factor is 6.17 / 36. The lens is still a 357 with the same size aperture. Since you are a regular here you likely know all this already.
So if we pretend the focal length of my 200 mm lens on my a6000 is really 300 then the 50 mm aperture is now a 6.0.
BUT that does not work when computing exposure and there is a good reason why. Simply put, the same lens is making the same image regardless of the size of the sensor. If the sensor is smaller, we are simply discarding the margins, so to speak. That means that the exposure for a sunny day at 1/100 sec should be F 16 (using the rule as an example) regardless of the crop factor. Any attempt to interpret all this as a different F stop is going to be wrong for purposes of exposure control.
Respectfully, I don't know what you are seeing, but either they are wrong or you are mis-interpreting what you saw. I suspect you are accurately reporting what you saw and I'm amazed that anyone, let alone Nikon, would get this wrong.
Or I'm wrong. Nah, never, right?