This continues to be a good point and for years my dad, a architect, has told the story of a wise(?) records department he consulted with that demanded their budget be spent on good passive temperature and humidity control for a bigger paper records storage space rather than power/cooling for a small data center.

BUT.

I would not give up hope on old digital storage mediums. I have recently read a casually stored CD-R containing code i wrote 25 years ago with surprisingly no issues. I know of friends who have read the 40 year old floppies from their childhood after discovering them in the garage. My ROM based game cartridges also read fine after 2 decades in an unheated barn. curiousmarc and friends (youtuber) have read the runtime state of the memory of Apollo-era computers among other things.

Correspondingly, nearly all of the paper records I've come in contact with over the years have been disposed of, damaged or last (many of them pictures and memorabilia). I think the issue we face is a lot about choosing what to preserve more than what medium to preserve it in.