The author makes reference to the "Intelligent Design" argument of a couple of decades ago, not as a direct analogy, but as a comparison of the methodology being employed, and the lack of science backing gender ideology.
In this case, however, the church is not fighting science. It's fighting itself.
https://fsspx.news/en/news-events/news/gender-theory-pontifical-right-64359
If you visit a Catholic bookstore in Latin America, you are sure to come across an attractive collection of children's books called Con Francisco a mi lado – “With Francis by My Side.” A photograph of the Sovereign Pontiff adorns each volume as a sponsorship.
Let’s open one of these picture books: in Me, I Am a Dog, the child discovers the story of a “brave little white cat who wants to be seen as a dog.”
The Vatican is producing both sides of the gender ideology, and playing liberals and conservatives against each other.