A couple of points, too long for comment, but not meant as a complete answer. Tidal locking doesn't mean zero angular momentum. The Moon has angular momentum. It rotates at nearly exactly the same speed as it's sidereal orbit, every 27.3 days. The Moon is also unusually lopsided, it's near side being denser than it's far side, but I think we can ignore that aspect for your question. Tidal locking requires rotation,otherwise, we'd see different faces of the moon as it went about it's orbit. Tidal locking appears to be zero rotation, but it's not.