Colour of bits isn't a property of bits. It's provenance. It's facts about history of the things.

There may be no trace from pure noise to original work, but you didn't get that particular noise randomly, you in fact got it from the original work.

Once you understand that law cares less about the thing itself, and more about the causal chain that led to it, it stops seeming magical and becomes perfectly reasonable.

(Also, FWIW, it's not that far conceptually from code = data, but there's still tons of technical people who can't comprehend the fact that there is no code/data distinction in reality. "Code" vs "data" too isn't a property of bits, it's only a matter of perspective.)