I think the intended "burn" comes from the childless part of the "childless cat lady" comment as it is intended to imply you lack inherent worth as a woman, I guess. Or, as Vance said, without a right to have an opinion on the future of the country,
JD Vance went viral for ‘cat lady’ comments. The centuries-old trope has a long tailVance lamented the country being run by "a bunch of childless cat ladies," including Vice President Harris. The trope has dogged women since the Middle Ages.www.npr.org