That is not true. Paper-based information storage is significantly more unreliable and volatile than electronic storage. Geomagnetic storms of such intensity as the Carrington Event would certainly cause power outages and other inconvenience, sure, but modern integrated circuits based on field-effect transistors would likely be entirely unaffected, and most integrated circuitry is hardened anyway and especially high-density VLSI devices like flagship smartphones that use 5nm manufacturing processes are protected against so many special cases and quantum phenomena like electromigration that a geomagnetic storm would appear to be a very minor problem. Solid-state storage drives are also very reliable in extreme scenarios and most would likely retain their data in the case of a major solar flare. And much data is still saved on optical storage media like DVD, and these are absolutely immune to geomagnetic storms and EMPs. The only thing we really should worry about is our power grid, but we won't lose any significant quantity of data and definitely not such that is integral to the functioning of our technology and society. And Faraday's cage still exists, so a lot of militaries and institutions will probably have made arrangements that make sure their devices are not compromised.