Explain the significance of Michaelis having such a difficult time ascertaining a church or priest that Wilson was tied to in The Great Gatsby?

To me, the fact that Michaelis can't find out where George Wilson goes to church says something about Wilson when you combine it with later stuff in the chapter.  Later in the chapter, George talks about how he has told Myrtle that she cannot fool God.  So George is invoking God, but he does not even go to church.

To me, this shows George as something of a weak man and a hypocrite.  He is telling Myrtle she needs to adhere to this morality but he does not even really care enough about it to belong to a church.