President Donald Trump on Monday dismissed the backlash against an AI-generated image of him as the pope posted by the White House on social media, saying it was a harmless joke, but communications experts said they did not see the funny side.

It is possible that Mr. Trump had “Escape From Alcatraz” on his mind when he declared on social media on Sunday that he had directed federal agencies to rebuild and reopen Alcatraz to serve as “a symbol of Law, Order, and JUSTICE.”