Amanda wants to be a Rapunzel because wants to enjoy the freedom that Rapunzel enjoyed in calmness inside the tower. She also says that she would never let her bright her down to help somebody get in the tower and dominate her.
Amanda wants to be Rapunzel to live a peaceful life in a tower where no one gives any instruction and she does not have to do any work. She does not want to escape with a prince like Rapunzel.