She said that it takes a while to remember her most recent past life, which means that she could have had a relationship with him and told him about her nine lives because she loved him. So it is possible he is waiting for the princess to awaken, which means he is waiting for the princesses ninth life reincarnation to come to him, maybe because they made a promise, and she just hasn't remembered her past life yet.
What if the princess is dead and her soul moved to that body that has black hair and purple eyes? Explaining how she knows the palace and how she acts like her.
She is the real princess, this is her 9th life she was the princess in her 8th life. And because she said that she lacks/won't immediately regain memories of her direct past life, as she is just starting her 9th life she won't recall the exact memories of her 8th life.
OHHH I think it's impossible to be the same person once you reincarnated unless you reincarnated in the same person?
She said that she can't remember her past lives so maybeeee.. she reincarnated in the same person