Additionally... unless you generated all the bytes you are encrypting yourself without transmitting them over a network at any time... e.g. video/pictures you took yourself and then stored to your own encrypted disk, your data could be compromised by quantum-breakable encrypted communication protocols at the time of transmission. I would wager that most data worth surveilling goes over the network at some point using TLS.
Done right, this means quantum won't get you access to dropbox-like stuff. (Dropbox itself probably doesn't work like that, it'll store the symmetric keys server side somehow.)
There's no encryption there at all, except TLS in transit.
Eg think you want to encrypt your logs: with asymmetric encryption you can store the public keys on all your servers, encrypt your logs as you generated them and forget the plain text as soon as possible. You keep your private key hidden away on a secure server, and only use it when you actually want to look at your logs (which doesn't happen all that often).
If you're using encryption to keep your data safe (e.g. local files, full disk encryption), then you don't actually need asymmetric encryption.