To exchange good offices is to exchange aid or support, but in this context the exchange is rare, which goes against the meaning of the idiom
Consider the staetement "I hope that, as neighbours, we may live long in peace and amity, and in the rare exchange of any sort of assistance which should subsist between us.". Based on this statement, is "I hope that, as neighbours, we may live long in peace and amity, and in the interchange of those good offices which should subsist between us." a true statement? Yes/no/unknown