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> I doubt these will have worse protection than software does, which has far better protections than copyright

Software is protected by copyright. Some software may also be protected by patents, but last time I checked, AI generated output of any kind was not patentable.

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Distillation isn't a copy. Distillation is more akin to "clean room" implementation.
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Software is protected by the DMCA, patents, licenses, EULAs, all of those aren't there for books. I doubt new laws won't be written for model outputs.

Also, if model output distillation is shown as some form of reverse engineering I assume the DMCA can apply

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The C in DMCA stand for Copyright. All (I think?) software licenses are underpinned and made legally enforceable by copyrights. EULAs are underpinned by licenses which are founded on copyright. Patents are the only one of those protections that are not based on copyright, and there are lots of very good arguments against at least most software patents (all software patents of the form "Do {well known and obvious thing} with a computer" should, in my opinion, be immediately revoked and potentially have every company who's enforced payments from such patents investigated for fraud).
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You may recall that the DMCA was originally written to protect music and movies. It does in fact apply to creative works. If you have ever purchased an MP3, eBook, or streaming movie, you will also be aware that you purchased a license to the underlying IP. This is also true of physical media, but the license agreement you have to accept when obtaining a digital work makes this explicit.

I agree that you can't patent a book, but I would point out that you can patent an idea, which may only appear in a book or journal article.

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Why would this be the case. Why would software output from a model magically have greater protection than the software the model trained on.
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Let's assume model output can be claimed by copyright or some form IP. You can't really patent it, as the output isn't a novel idea or process, much like you don't patent a book or a movie. But for arguments sake, let's agree it is some kind of IP.

Who are you saying owns that IP? The people who trained the model? The people who ran the model? The people who wrote the prompt? The person who paid for all of that to happen?

If the model output is owned by the person prompting it and paying for the tokens, what's the problem here?

If the model output is owned by the trainer of the model, that's a big nasty can of worms.

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