The (in my view) problem with the author's argument is that the first step he claims is happening, is not. Publicly available content gets read, as is the point of publicly publishing it. Then the user uses a computer program to make some statistics about the bit of content. Those bits of statistics about that specific work, on their own, cannot reproduce or recrate the specific work. Then those statistics are put into a database and combined with the stats about billions of other works. Then another program is written to query the database to make probabilistic guesses responding to the prompts from a user. It's this last stage could potentially recreate a work in an infringing manner. But everthing that led up to that point (creating the model) is simply not something that current law considers to be infringing of copyright in any meaningful way. It doesn't even require a "fair use" assessment, because, creating statistics about a work, that cannot on their own reproduce the work, does not create a copy, nor does it make a public performance of the work.
Is this all terribly unfair to the people that published their work assuming this couldn't happen? Yes. But the response needs to be "lets come up with and pass better law" and not "lets twist and contort the current law to be something it's not."