True, but not the only relevant thing.
If the output of the LLM is "not very different from the original work" then the output could be the infringement. Putting a hypercomplex black box between the source work and the plagiarised output does not in itself make it "not infringing". The "LLM output as a service" business is then based on selling something based other people's work, that they do not have rights to.
It's falling for misdirection, "pay no attention to the LLM behind the curtain" to think otherwise.
I will disagree with that characterisation. IMHO: In some cases no, it's not different, there are clear lines from inputs to output. In some cases yes, it's different from any one input work, it's distributed micro-plagiarism of a huge number of sources. In no case is it original.
But I think that this is legally undecided and won't be decided by you or me, and it is going to be a more interesting and relevant question than "is the LLM model is very like the original work", which it clearly isn't. That's like asking "is this typewriter like this novel?" It can't be, but the words that came out of it could be.
Music has ended up in a place where short audio snippets are protected by copyright and must be licensed; but for short snippets of text the precedent has generally been that the copying needs to be more substantial. Distributed microplagarism of short phases might end up being ruled to be legal, even if wholesale reproduction is not. Which may not give copyright protection to the generated works, of course, as the question of machine authoring is entirely distinct.
That’s like saying the dictionary is micro-plagiarism of a huge number of sources because it uses all the words from those sources.
Plagiarism isn’t necessarily copyright infringement, and plagiarism isn’t illegal. Copyright infringement is.
Even still, your argument that everyone who generates 2,000 words in the style of (author) is plagiarizing is also flatly false. By that standard all English essays that mimic someone else’s style would be plagiarism.
The output of a LLM, when based heavily on that same page, pretends to be something novel. IMadeThis_Meme.gif