Evidently the way I wrote this previously wasn't clear enough, so I have attempted to improve this text.
No, you can have a random new value (effectively like you bought a different one), but you won't learn what that is, so it doesn't help you and there's no way to "keep the secret hidden somewhere" except in the sense that it's hidden inside the device where it belongs.
No, you can have a random new value (effectively like you bought a different one), but you won't learn what that is, so it doesn't help you and there's no way to "keep the secret hidden somewhere" except in the sense that it's hidden inside the device where it belongs.