Band-aid again. Identifying users by IP was never a reliable technique; and with most services, I'm still the only human using my public IPv4 address, NAT or no NAT.

If worried about privacy, you have a whole raft of identifying mechanisms to cope with before the IP address as an identifier even appears on the horizon, and there are tools to obfuscate your source address; NATing it away only makes things more complicated without a commensurate increase in privacy (worse, provides a false sense thereof).