We've conducted ourselves for decades underthe assumption that the cryptographic invariants securing internet communications would hold. Looking to the future, we can switch to quantum-resistant ciphers and go on with our lives.
But the past? Mass decryption of archived communication would lead to learning things we never wanted to know. It would cause economic ruin, social turmoil, and worse on a huge scale. And it may now be inevitable. Everyone has secrets.
We should start moving toward quantum-resistant cryptography now so that by the time these machines become practical, sensitive information will have fallen out of most archives.