I can see how you arrived at that. Their relationship never had a chance to develop. Michael certainly wanted to keep his mind off of business, so what better way than to play. You never know what to make of the scenes with her father. Either Michael is so smitten with Apollonia that he wants to court her correctly, in the Sicilian tradition, or, he thinks he's such a badass that he can talk her father into giving his blessing just so he won't have to go to bed alone anymore. It's open to interpretation.