Joking aside, our methods of recording information are hellishly vulnerable. This comes with the density of record. A clay tablet from Mesopotamia does not carry more than 2 kB of info, but 4000 years have gone by and it is still readable.
Bit of a tangent: just occurred to me that part of the story arc for the show 'Mr. Robot' is hackers trying to erase an entire knowledge base - the debt history of billions of people. The protagonists try to achieve this goal by peaceful means, but...okay I'm going to stop spoiling it's an awesome show check it out.
But, the danger is really high that they will be all thrown out alongside of the yellowed Harry Potter books.
Contrast this with another ancient language: Etruscan. Although we have a number of longish texts in the language, we can't translate much of them. Etruscan has left no descendants, and Emperor Claudius's books on the language haven't survived. There is one bilingual text of more than a few words (the Pyrgi tablets). The other language is Phoenician. We can read that.
Most digital data would be lost within 10-20 years. Maybe sooner. We could at least try to pint out wikipedia.
https://getyarn.io/yarn-clip/720ad4a5-5a51-4b97-b521-2a1d1fa...
So... that happening.
Seriously, though, there have been a lot of instances throughout history where scrolls and books have been burned at the order of the state. Perhaps the most famous example of this is the burning of the Library of Alexandria:
https://en.wikipedia.org/wiki/Library_of_Alexandria
So I don't think paper is necessarily a "better" alternative.