That is a deception. ISO100 (on digital) is generic and not defined by a physical formula like the aperture is. Nikon adjusts the sensor so that ISO100 on the D7000 appears equally bright as ISO100 on a D800. The amounts of photons/light gathered is less by the crop factor.I'm sorry, but I think this is where the analysis goes south. Yes, a 35mm sensor has more area and therefore can potentially collect more total light than a smaller (APS-C or M43) sensor, but the amount of light hitting the "crop" portion of the 35mm sensor is exactly the same (assuming all else is equal -- i.e., same lens, same settings, etc.).
I think it is easier to think about this portion of it by not getting into crop factors, effective fields of view, etc. If you shoot the same scene with the same lens (say 50mm 1.8G) at the same settings (say 1/250, f/2.8, ISO 100) on a D800 and D7000 and then crop the D800 image to 16.2MP, the exposure should be the same. Yes, the D800 sensor would have collected less total light than the D800 sensor, but the light that is relevant to the final image (i.e., the cropped center on the D800) is exactly the same.
In short: Your example settings "1/250, f/2.8, ISO 100" are not equal on the D7000 and D800. They merely appear equal because Nikon adjusted the ISO. All manufacturers do this and people seem not to know about this.
(I am starting to have a hard time explaining this because I learned maths and physics in german.)