If Eclipse Magus is Magil, then why would he be sent back to the CT->CC timeline? Wouldn't you have two Magus's floating around in one timeline? It wouldn't make any sense. You'll have Magil who presumably might become Guile and you would still have the original CT Magus.
And like others have said, didn't Magil find Schala already so what would he be doing in the Eclipse anyway? Eclipse Magus being a post Trigger Magus makes sense to me.