I saved some papers from 9/11 in a shoebox in a closet, and when I opened it 10 years later, some of the papers crumbled in my hands. Paper of any kind is fragile and easily damaged by humidity, weather, and fire. We give books and newspaper special treatment every day they're kept safe in our climate-controlled houses. If civilization came crashing down, these archives would be lost very quickly.
https://books.google.co.nz/books?id=qhYDD8joCbQC&lpg=PT574&o...
Newspapers just decades old are all but dust now. There's no lasting power in paper. Stone and clay tablets is where its at. From a more realistic perspective, we live in an age where every tinpot dictator can get nuclear weapons and every powerful nation has enough to end the world, so past ideas of human survival let alone knowledge survival may be a bit naive. There's probably nothing that will survive WWIII and there's no reason to think WWIII isn't going to happen eventually.
Same for digital.
> With digital, you can easily just have thousands of copies spread around various data centers and never have to worry about that.
Same with print. Just replace "data centers" with "libraries".
> The low cost to copy and the ease of transfer are pretty big advantages here.
It's only low cost and easy if you assume the whole computing infrastructure is already available: electrical and networking grid(s), working equipment, compatible software, trained operators, etc. All of that is expensive and, for archival purposes, fragile.
> And you get things like easy searching, perfect copies, etc as well.
No arguments there, but these advantages have little to do with long-term preservation.
The best archival strategy is going to involve multiple types of media. Keep things available on the network for ease of access. Put important things on paper/parchment just in case. Mix in tape/film and other media as needed.
You originally said "you don't even need to destroy them to render them useless. Just turn off the power!" I guess turning the lights off makes a book "useless".