Is the The World's Wife collection of poetry by Carol Ann Duffy only effective because it's based on actual fairy tales and myths?

Certainly, a strength of Duffy's work is that it uses figures and circumstances represented in well-known fairy tales and myths, but I would not say that it is only effective because it does so. Duffy's The World's Wife is a collection of poems that inverts or re-conceptualizes well-known stories by centering female figures who otherwise appear only on the peripheries of stories, or whose perspectives are neither considered nor taken seriously. For example, "Mrs. Freud" is a poem in which Sigmund Freud's wife, Mrs. Freud, talks about how tired she is of hearing about male genitalia; "Medea" talks about how this mythological figure becomes so enraged and volatile. Her work is effective in part because it forces readers to consider the perspectives of those whose feelings, emotions, thoughts, actions, and behaviors are not unpacked and remain, in many cases, misunderstood or mysterious. She is able to do this by meeting the reader where they are, or, in other words, she plays with people's general understandings and interpretations of these relatively well-known texts by pushing them in unexpected directions. The fact that she is responding to texts that are culturally significant in some way or another is merely a tool she uses to convey her larger views about the pervasiveness of male perspectives and narratives, but I do not think that her poems are only effective because they utilize this particular means of engaging with these themes.
One way to think about the other ways that her poetry is effective is to think about how you might respond to one of her poems, where the backstory (e.g., the myth or fairy tale she uses) is something with which are not familiar. What else do you gain from reading this poem? Minimally, I would say that analyses of her use of first-person narration, the centering of female characters, the perceived audience each of the narrators addresses, and the form of her poems can add to our understandings of how we (can) read poetry, how it resonates with us as individuals, and how poetry can and has helped to shape our world views.