No you wouldn't have to give it up.

On Pubky you can have future plausible deniability, which can be quite empowering for some people. BUT if you don’t want future plausible deniability then you can just sign all your events with your private key nostr style (assuming someone builds out such a client). That's totally an option on the protocol. You have keys at your disposal for whatever you want, same as nostr, want a client that's fully atomic then just a matter of building it.

But it does feel pretty empowering to have that plausible deniability. You want to be able to say it wasn’t me if it actually wasn’t you (your account was hacked) and sometimes you want to be able to say it wasn’t me when it actually was you.