If you’re not required to provide an GLBA/Reg P opt-out and your policy hasn’t changed that is correct. See excerpt from Reg P 1016.5(e) below:
Exception to annual privacy notice requirement. (1) When exception available. You are not required to deliver an annual privacy notice if you:
(i) Provide nonpublic personal information to nonaffiliated third parties only in accordance with the provisions of § 1016.13, § 1016.14, or § 1016.15; and
(ii) Have not changed your policies and practices with regard to disclosing nonpublic personal information from the policies and practices that were disclosed to the customer under § 1016.6(a)(2) through (5) and (9) in the most recent privacy notice provided pursuant to this part.
You would still need to consider opt-out disclosures required under the Fair Credit Reporting Act (FCRA) – see Regulation V, 1022 subpart C. I believe this can generally be satisfied with the initial privacy notice you provide to consumers (not required annually), but if there is a change or the opt-out expires you would need to provide that option again.