This shouldn't be a major issue because of Forward Secrecy (https://en.wikipedia.org/wiki/Forward_secrecy) principles built into modern TLS protocols, which ensure that even if the public/private key scheme is vulnerable to (for example) quantum attacks, the attacks have to be done now, as a MITM for the handshake, or otherwise the full traffic capture is useless for future decryption without getting some secrets from one of the endpoints.

That being said, it's not 100% used everywhere yet (Wikipedia mentions 92.6% of websites), and various means of tricking devices into downgrading to an older protocol would result in traffic that might be decrypted later.