A reasonable opinion, but I'd personally strongly choose the former.

A physical book in a museum archive is useless for 99% of the worlds population even if they really wanted that specific book and were able to find it, as they'd have to arrange for access, then travel (at incredible expense) to access it.

Maybe they could ask the museum to digitize it, but that's still going to be days of delay and tens of dollars of cost to access parts of that book, if the museum even offers that service. If we go slightly beyond your "melted into" statement, the chances of the book becoming useful to the public are much higher in the AI company's digital archive, which might turn into something like what Google Books could have been, given the right incentives and copyright law changes.

And of course that presumes that the TV guide is going to stay in the museum rather than been thrown out as part of curation (or realistically, long before it makes it into a museum). Neither museums nor archives hoard everything, throwing stuff out is - as far as I know - one of the key jobs of an archivist. And a 1994 TV guide, while useful to understand what it was like to be alive in 1994, likely doesn't contain much unique information. You don't need that specific guide.

If there are 52 weekly editions, of 10 different guides, you would likely get most of what you want from any one of them. And for the parts that you wouldn't - there's a good chance that you'll have a much easier time getting the essence of this knowledge from the anonymized data pool that all the content was melted into, rather than chasing 10 different museums to find the original magazines.