Got it. You're thinking of the OP's original question. I answered that and no, cropping the FX sensor basically removes the low light advantage. In my post with the photos I was responding to
JBPhotog who disagreed with my statement: "The fundamental reason an FX sensor provides better low-light performance is it's bigger. If you crop it so that it's no longer bigger then you're giving up the reason for the advantage."
I don't see how the sensor size matters at all. It seems that just the pixel size matters
all else being equal. By all else being equal, I mean the electronics, the lens, the exposure, the shooting distance. While a bigger sensor often means bigger pixels, that is not always the case.
If I were magically given two cameras that were identical in every way except for the sensor size (same pixel pitch, though), shot the same scene from the same distance with the same exposure, cropped (not reduced) the FX to DX size and then compared the two images, they should be the identical (or close to it, if you allow for the randomness of noise). If you fill the frame with the same image on both, the FX image wins when reduced (not cropped) to DX size (this is what I think happened with your Superman samples).
It might seem like an arbitrary restriction, but for wildlife shooting where you might already be using your largest zoom lens, can't get any closer to your subject and find yourself often cropping even the DX image, the FX camera may not be much of an advantage (birds in flight would be one exception—you still crop, but you have a greater chance of having the bird in picture in the FX shot because of the wider field of view).
If you have two magically-equivalent cameras, but now the FX and DX have the same pixel count, the FX camera will have better low-light performance. For wildlife, if you have to crop, though, it may not matter. Cropped to the same field of view, the FX image will have less noise, but also less resolution (fewer pixels). However, when the DX image (which is now the larger one, pixel-wise) is reduced to the size of the FX image, it may look just as good.
I will add that since the two magically-equivalent cameras don't actually exist, comparisons like this are just interesting thought exercises. Real world comparisons are more useful and the results may vary depending on the types of images you take. FX would seem always superior to DX for landscapes (except maybe for your pocketbook), for example—well, as long as the technology is roughly equivalent. This should be true whether the two cameras have the same pixel pitch or have the same total pixels.