It's true, putting the TOTP in a synced app actually removes the "something you have" aspect of the second factor. Now you've created a way to intercept the "so

It's true, putting the TOTP in a synced app actually removes the "something you have" aspect of the second factor. Now you've created a way to intercept the "something you have" factor without touching either the user or the authenticating service, so it's just an extension to the "something you know".