the above is really hard. A lot of tdd 'experts' don't understand is and teach fragile tests that are not worth having.
your implementation is your interface. its a bit naive or hating-your-users to assume your tests are what your users care about. theyre dealing with everything, regardless of what youve tested or not.
You can change an interface and not change the behaviour.
I have rarely heard such a rigid interpretation such as this.