This isn't a space I know too much about, but even if we all start using quantum-safe encryption for everything today, won't the arrival of quantum computers that can break traditional encryption not still be a big deal?
Given that intelligence agencies, tech companies and various bad actors have been storing encrypted data for a long time, hoping to decrypt when (if?) that day comes?
The time between the moment the information is recorded and when it's deciphered is what matters, rarely the information itself abstracted from all context.
So even if suddenly having a classical cryptography is broken, trivially, then there still need to be a way to search through it.
Typically for a random person that means their credit card pin and their email password for example. Well, you chance that and if, say the NSA, can decipher your old email password even 1 minute after you changed it, no big deal. If they can decipher your old emails it might be a big deal but probably not. I would argue it depends on actionable information (e.g. a coup happening tomorrow) and legal information (e.g. the proof that a certain person was an informant and should be extradited).
So... I would argue historically, huge deal, daily life... probably not much for most.