And even then, only approximately, I think it's off by over twenty degrees IIRC.

Just ran across an old paper by Barricelli and Metcalfe (in The Moon, 12:193-199, 1975) that mentions a theory of J. A. Wood that the asymmetry was formed when the moon was ten times closer to the Earth than it is now--and both of their theories seem to have the more impacts on what is now the near-side, occurring when it was the leading face of the moon, then having the moon rotate into its current configuration.