Here is a fun way to look at it:
All binary software is directly convertible into a single large decimal number, which occurs on the natural number line.
These copyrights therefore are claiming ownership over a naturally occurring number.
If I download a bootleg cam of a movie and match its bit structure to that of the original they are clearly not the same. If I convert the binary image into its decimal form and compare, the numbers are way off from each other, yet the copyright laws here claim ownership over all these representations of the original works, even though clearly in the digital world they can be completely different numbers.
If we deal with small numbers for a simple example, 256 is not the same as 512, let's say 512 was a copyrighted image. By downloading 512 I have now broken a copyright law, but this number can be generated naturally as a power of 2, 2^9. So I scale this image down by half and get 256 which is clearly not 512 but it looks the same to our eyes just lesser quality. Copyrights will still claim that representation as their original works, even though it clearly is not the same data.
If I claim that all data generated by the formula 1+n is mine, I would own every conceivable digital piece of data to ever come into existence. You claim 512 as your own, I will say no that belongs to me as 1+511 is the formula I have to generate that number.
The numbers you deal with in a computer are so large they cannot be factored with current techniques, but one day they can and what then of their precious copyrights?
You could then just pirate the generating formula for that data, the ultimate procedural compression. A small file of formula data to generate all those gigs of pirated content 😀
So this whole system hinges on the fact that these numbers are not easily generated or stumbled across and therefore you committed a deliberate act to gain them into your possession. But at the end of the day, a cam rip of a movie is "not" the same data they claim as their original works.
I wonder if this logic once refined could hold up in a court...