It can take months for a new dog to show their true personality. Usually, I have had female dogs that will take over as alpha in my household. The males will still have their ranking, but the bitch is in charge. Who greets you first does not denote pack status, or it sure doesn't with mine. Max Jake and ChiChi crowd the kitchen doorway and Cody is usually in the rear, but he is my undisputed alpha. He just doesn't get into the juggling for position with the others. He hangs back and waits for me to come to him, for his greeting. If I don't rub his cheeks and touch noses with him, he will follow me around the house until I do. I wouldn't worry about the behaviour. As long as they are both healthy and happy, it's nothing to be concerned about.
Kathy