During the first act of “Once Upon a One More Time,” the Broadway jukebox musical that grooves to the Britney Spears oeuvre, a fairy godmother arrives with a present for Cinderella. A gown? No. Glass slippers? No. Cin has enough already. Instead, her godmother gifts her a copy of Betty Friedan’s 1963 best seller, “The Feminine Mystique.”

It’s a clumsy gesture in the show, which plans to close next month. (Feminist thought has advanced in 60 years!) And arguably emblematic of a recent spate of Broadway musicals that set feminism to a pop beat, including “Six,” a zippy modern retelling of the lives of Henry VIII’s six wives; “& Juliet,” whose protagonist, miraculously alive, embarks on a girls’ trip of self-discovery; and “Bad Cinderella” (now closed), a chaotic rejiggering of the classic fairy tale. Aimed at girls and women (historically the majority of Broadway ticket buyers), these shows may be sincere attempts to engage with women’s issues — or they’re hollow efforts to capitalize on calls for change. Empty political gestures on Broadway? To quote a song used in two of these shows: “Oops! … I did it again.”

On a recent morning, Laura Collins-Hughes, contributing theater critic and reporter; Salamishah Tillet, critic at large; and Lindsay Zoladz, pop music critic, gathered to debate facts and fairy tales. They discussed how narrowly these shows define empowerment, if they define it at all, and why Prince Charming gets the best song. These are edited excerpts from the conversation.

The recent musicals “Six,” “& Juliet,” “Bad Cinderella” and “Once Upon a One More Time” take female empowerment as their central theme. Are these shows actually empowering or legibly feminist?