ChatGPT is full of sensitive private information and spits out verbatim text from CNN, Goodreads, WordPress blogs, fandom wikis, Terms of Service agreements, Stack Overflow source code, Wikipedia pages, news blogs, random internet comments, and much more.
it’ll get broken one day
for now its being stored
Sure they will store everything till it’s cost effective to crack the encryption, on everything some randoms send each other.
Intelligence will do that for high profile targets, possibly unsuccessfully.
Before you get downvoted, here’s a wiki page backing you up.
https://en.m.wikipedia.org/wiki/Harvest_now,_decrypt_later