"That's not up to you."
When people claim they have nothing to hide, always point out that's not up to their determination. That freaks them out, it disarms their shrink-from-confrontation move.
And you can point it out super fast, in a plain six word statement. No need to launch into a deep discussion unless prompted.
Alternatively, simply respond with: yes you do. When they reply: "what?" - "every single thing you have ever done wrong across your entire life." Everybody has done something they would prefer to keep hidden, the cowards just lie about it.
People are entitled to privacy because they enjoy it. No further justification is needed.