I think a solution to this could be for the government to require the companies to provide the original scans and OCR results to the government for safe keeping until copyright expires.

Clearly that makes assumptions about the function of government and the complacency of copyright holders.

https://www.copyright.gov/help/faq/mandatory_deposit.html

some form of mandatory deposit law has existed since 1790 in the US. other countries have similar laws. there is a very good chance the government already has a copy of anything that has been copyrighted