I'm not entirely sure how moral rights of authors operates under US law, when or whether such rights extinguish, or what the penalties for infringement are. Under EU copyright, this is a quite strong provision.
US governing law would seem to be 17 USC 106A, noting it applies specifically to visual work (as in this case):
Rights of Attribution and Integrity.—Subject to section 107 and independent of the exclusive rights provided in section 106, the author of a work of visual art—
(1)shall have the right—
(A)to claim authorship of that work, and
(B)to prevent the use of his or her name as the author of any work of visual art which he or she did not create;
https://www.law.cornell.edu/uscode/text/17/106A
Under 17USC106A(d)(1) the rights "shall endure for a term consisting of the life of the author.*
The 107 exemptions are for fair use, which would not apply to Getty's usage claiming exclusive rights.
The broader problem would seem to be that releasing works to the public domain cedes critical rights, most especially of enforcement against misappropriation or unsupported claims of copyright. Getty clearly might be (and per some comments on this thread are) engaging in little more than shake-down rackets based on specious copyright claims.
An attention-grabbing penalty for such behaviour seems warranted.
Apparently US courts see the sanctity of privately or corporately-owned property, but not the property of the public as a whole (public domain).