Unlike the HUD-1, the Closing Disclosure is created by the lender and the lender has ownership rights to it. For that reason, their approval is needed. In addition, since the Closing Disclosure contains far more Non-public Personal Information (NPI), caution should be exercised and borrower approval obtained before sharing it with others.
A better solution is to prepare a joint closing statement such as the ALTA statement or the custom settlement statements found in DoubleTime® and other closing software. The general sense is that these can be provided to real estate brokers without significant concern.
The TRID rules require that the settlement agent prepare and provide a Seller Closing Disclosure. There is no reason to give that to anyone other than the seller if you have prepared another joint closing statement but there is no NPI concern about the Seller Closing Disclosure.