Actually, I think the main reason SM is not looking for Lois is that Clark is being very thoughtful and un-lunkheaded in this story, not that it is doing him all that good.
Is Lois hiding out an issue worth Superman's investigation? I don't think so. If he looks for her as SM he will create an idea of a connection in the minds of lots of people including criminals. This could cause them to see Lois as a way to get to SM. That would be bad.
