What dogmas does NCR challenge? So far, none of your examples rise to that level. What the Church teaches with respect to female ordination, birth control and LGBTQ relationships have not been dogmatically defined.
However, what has been dogmatically defined is that the Pope possesses full and supreme power of jurisdiction over the whole Church, not merely in matters of faith and morals, but also in Church discipline and in the government of the Church.
By producing hit pieces on the Pope, Raymond Arroyo at EWTN is undermining the legitimacy of Pope Francis and actively challenging the teaching authority of the Bishop of Rome, who is the successor of Peter and who has his Primacy over the whole Church and for all time.
I consider this to be far worse than anything NCR publishes. It is one thing to give voice to marginalized Catholics who question the current interpretation of church doctrines that have never been formally defined, but it is a far worse thing to deny the authority of the Magisterium.