Don't agree with him. It's your project and your time. If you trust yourself and know you don't log, then why make an effort to appease paranoid users who never checked source code of your extension? k-anonymity will increase load of your server and your cost while you know it's pointless.
On the other hand, user can use VPN, Tor, browser containers to achieve the same. If they really are as paranoid as they say - they already do.
