A random ordering of words is not protected. Nor is an alphabetical ordering or any other type of functional ordering, however ingenious.
True, it does not need to be fiction. But in case of a history book discussing historical events or ideas about historical events, copyright will only protect the expression of those historical events or ideas. Another person is free to express the same events and ideas in his own words. In case of a novel, you are more likely to infringe copyright if you retell (parts of) the story in your own words.Also, not everything that is not a 'list of facts' has to be fiction. A history book discussing the relation of historical events would most certainly be protected by copyright. Newspaper reports are protected by copyrights, right?
And in case of an NN, the individual numbers are not copyrightable and their selection and arrangement is not imaginative but dictated by functional requirements. (Because in the end you can produce them by feeding the training program an unimaginative collection of games, and even if you do select them with imagination, one wouldn't be able to tell from the result.)The operative word here is (unordered / trivially ordered) list, i.e. an ultimately unimaginative presentation of the (in themselves not copyrightable) items.
(There may be exceptions. If the NN produces paintings and someone carefully selects training data to teach the NN to paint in a particular style, then there might be copyright at least on the paintings. I'm not sure if one would then need to recognise copyright on the NN weights. Perhaps as a computer program.)