Monkeys aren't algorithms nor computers, so that doesn't seem very relevant.
Let's look at a totally different analogy: compression algorithms.
If I take a digital artist's work which they publish as a png or psd file, and I use some algorithm to convert it to a jpg file, well, I definitely transformed the work in terms of bytes. It's a smaller file, I threw out a lot of data, you can't get the original back.
Yet, this does not change the copyright in any way. A computer applied a rote transformation.
An LLM is really just a very complicated compression algorithm. It takes an input of a bunch of copyrighted works, compresses them into a model, and then uses more algorithms to uncompress them into approximations of the original ("responses")
In the image analogy, an LLM response is similar to upsizing the compressed jpg back into a png (and getting a slightly different image since the process was lossy).
Is there a way that an LLM isn't, legally, a compression algorithm for a large set of copyrighted works?