[QuotedForTruth]

Probably not with random noise. With random noise there is literally no connection between pixels. With any actual picture there are connections. Like for instance a pixel is more likely to be the value of its neighbor or nearly so than any random value. This follows from the fact that the pictures are of actual objects with physical properties that determine the value of the pixel that maps to them. Most of the image can be characterized by continuous gradients with occasional edges.

I think if you trained with random noise you would get random noise output.