That is annoying: A simple proof that no stable (including when stalled) bearing is possible using just magnets. You can get some support. But you can't keep it in place with magnets alone.
But you can use magnets to levitate something diamagnetic. Diamagnetic materials are weak, but you can get strong diamagnetism from a superconductor, or a strong pseudo-diamagnetism from a normal conductor versus a moving/varying field (with eddy current losses in the latter). So THAT's why we never see news of magnetic bearing designs being attempted unless they involve superconductors.
But you can get SOME control and support - just not six-degrees-of-freedom stability - from magnets alone. And with gyroscopic forces to keep a magnet from flipping end-for-end you can make it stable as long as it keeps spinning. Those imply you might be able to do something for a rotor that involves a mechanical bearing when stopped or turning slowly, then a "lift off" at speed.
So all is not lost. B-)