Interesting, actually that's exactly the reason why I like the TOTP algorithm over other two factor mechanisms. I can see what my private keys are, I can back up them, and I can even copy them to other phones I maintain.
Some would tell me it's not good for security, but I'd like to manipulate them in the same way I manipulate my SSH keys. It's just so convenient. If they are moved to TrustZone or something I'd be massively upset.