This is so familiar to me when your friend treats you differently from you.
I also have a strange relationship with a friend. She tells me that I am her best friend, that I am the closest person to her, that she loves and appreciates me very much. But when I invite her to walk, go travel, have fun, meet the new year together, etc., she refuses, because she is always busy. And then I accidentally find out that she was not busy, she did not want to spend time with me.
It is sad to see that in words a person says one thing, but by actions demonstrates quite another. It hurts especially when this person is important to you.