For a large LLM I think the science in the end will demonstrate that verbatim reproduction is not coming from verbatim recording, as the structure really isn’t setup that way in the models under question here.
This is similar to the ruling by Alsup in the Anthropic books case that the training is “exceedingly transformative”. I would expect a reinterpretation or disagreement on this front from another case to be both problematic and likely eventually overturned.
I don’t actually think provenance is a problem on the axis you suggest if Alsups ruling holds. That said I don’t think that’s the only copyright issue afoot - the copyright office writing on copyrightability of outputs from the machine essentially requires that the output fails the Feist tests for human copyrightability.
More interesting to me is how this might realign the notion of copyrightability of human works further as time goes on, moving from every trivial derivative bit of trash potentially being copyrightable to some stronger notion of, to follow the feist test, independence and creativity. Further it raises a fairly immediate question in an open source setting if many individual small patch contributions themselves actually even pass those tests - they may well not, although the general guidance is to set the bar low - but is a typo fix either? There is so far to go on this rabbit hole.