I think there is a lot of benefit to new T's knowing what happened with the last one. For example, new t could learn what has already been tried and doesn't work for you. Also, as a neutral party, if there were problems, new t could understand what went wrong in your relationship with old t. Did old t make bad choices with how to work with you? Did you react strongly to something because of transference issues?

Good luck with new T!

EJ