Ordinary language is all right.
One could divide humanity into two classes:
those who master a metaphor, and those who hold by a formula.
Those with a bent for both are too few, they do not comprise a class.
The world can make you keep something secret, but not something private.
So if you need secrecy to be yourself, does that mean you're a bad person? Not necessarily; it could just be that others have made you feel like one.
You can be yourself in private; but not in secret.
Anyone who says glibly, 'just don't have anything to hide!', acts as if it makes no difference to be made to treat your privacies like secrets.
Secrets are kept deliberately; so preserving anything private as such can seem like keeping a secret.
What is between us is often private but not secret.
Do you owe it to others not to be ashamed of yourself?
If others know what you have done, they may find you guilty. If others see who you are, they may make you ashamed. But the world may not see you for who you are, without this stopping it from making you ashamed.
Those who do us wrong also often try to make us party to the secret that they have done us wrong.