Originally posted by LFLee In this case, a F2.0 FF-compatible lens will let in more light than a F2.0 crop-sensor-only lens?
NO.
Don't confuse focal lengths with field of view. Field of view (wide angle, normal, telephoto, it's measured in angles) is dependant upon focal length and sensor size. But DOF and brightness are not, they are only dependant on aperture and/or focal length. Sensor size has nothing to do with brightness.
Take it this way: a 55mm lens will produce an image. On a tiny sensor (think compact), only a small fraction of that image will be recorded, so it will look as though it is magnified (which it is). On APS-C, however, 55mm is considered "short telephoto". On 135, it is "normal". On 120 film, it is wide angle. All of these because more of the actual image gets to be captured. Of course, given that the 55mm lens can deliver a large enough image circle to cover 120 film. But take a Pentax 6x7 55mm and mount it on your APS-C DSLR: it will look the same as any other 55mm.
The same is with brightness. f/2 for example says it all about the lens. It's f/2 no matter what format it's used on.