Senator JD Vance of Ohio, the Republican vice-presidential nоmіnее, is drawing renewed scrutiny over his past remarks that the American gymnast Simone Biles, who won another Olympic all-around gold medal on Thursday, showed weakness when she withdrew from the previous Games because of a mental health issue.

Mr. Vance, during an appearance on Fox News in 2021, questioned why Ms. Biles was receiving acclaim for stepping away from the competition at the Tokyo games. Democratic operatives appear eager to call attention to the remarks now that both Mr. Vance and Ms. Biles are back in the spotlight.

“I think it reflects pretty poorly on our sort of therapeutic society that we try to praise people, not for moments of strength, not for moments of heroism, but for their weakest moments,” Mr. Vance, who was running for the Senate, said at the time.

American Bridge 21st Century, a Democratic super PAC that conducts research and tracking on Republican candidates, posted a clip of Mr. Vance’s comments on X. In it, Mr. Vance says that the public’s empathy toward Ms. Biles, who is now 27, was emblematic of what was wrong with the country. “But instead, what our press has done, I think, has turned this into this weird therapeutic moment,” he said.

His comments began ricocheting online as Ms. Biles was competing in the individual all-around competition in Paris, where she added to her haul of medals. She is only the third woman to win a second all-around title at the Olympics. Her decision in 2021 to remove herself from the competition sparked a national conversation over mental health. It earned her both accolades from those who praised her for putting her well-being first and criticism from others who called her a quitter.

“We’ve tried to turn a very tragic moment, Simone Biles quitting the Olympic team, into this act of heroism,” Mr. Vance said earlier in the same Fox segment.

Some of Mr. Vance’s other past comments and criticism of women have similarly drawn scrutiny since former President Donald J. Trump selected him as his running mate on July 15. During another appearance on Fox News in 2021, he complained that the nation was governed by “childless cat ladies,” including Vice President Kamala Harris.

Those comments prompted a bipartisan backlash and touched off a back-and-forth between Mr. Vance and the actress Jennifer Aniston, who has been open about her fertility struggles.