Another reason rotation is bad is because it put undo burden on the user. You're now combining the unneeded burden of password rotation with the unneeded burden

Another reason rotation is bad is because it put undo burden on the user. You're now combining the unneeded burden of password rotation with the unneeded burden of a randomly generated password for a user to remember. Of course, by remember, I mean put in a .txt file somewhere. Both of your suggests disregards the user's experience and security is only ever as good as your user's willingness to use it.