Never heard of those two being opposed.
The trade-off of security is widely known to be convenience, not privacy.
It’s not applicable to individuals. Think of society as the whole. I want access to encryption to protect my tax files. Pedos want encryption to pass illicit pix. As a society, should we pass laws that support encryption (privacy), or laws that restrict encryption (security).
punishing everyone for the crimes of a few is intolerable in many free societies
Privacy is a part of security. There’s more to security than just privacy.
To give an example, telling a friend where you’ll be if you go on a date is sacrificing some privacy for security.
They can be exclusive too. If you run a public server in your DMZ, but keep your personal information behind your firewall, the public server is not secure but you are still practicing good privacy.