Prioritizing the former is appropriate but secondary. Prioritizing the latter is silly at best, and threatens the unity of the Church, especially with the incendiary and borderline-slanderous flapjaw of his designated mouthpiece on the matter.
What should the Archbishop be prioritizing? Exactly what the Second Vatican Council (in several documents) described as "the source and summit" of Catholic life: the Eucharistic Sacrifice. Specifically, the Archbishop should be focusing on the clear and continuous teachings and regulations concerning that 'source and summit', particularly the music therein.
(Perhaps it's just co-incidence, but the mouthpiece above has openly bragged at least twice that he's not a liturgical "fusspot." Apparently he's only a "fusspot" when it comes to demanding that the Faithful shut up and obey about Common Core. Other "fusspotting"--say, about the 'source and summit'--well, that's just silly. A waste of breath, time, and his intellectual superiority.)
Let's begin with a takeoff on the thinking of Marshall McLuhan, who happens to be Catholic. Recall his famous dictum that "the medium is the message" here utilized in an essay in Patheos:
Indeed. One does not go to the tavern to hear sacred music. What on earth possesses diocesan priests who want their flocks in the church to hear variations on "Evita" and/or third-rate Elton John tunesmithing from Haugen, et.al., dressed up with 'hymn-language'?
The good news for Abp. Listecki is this: another US Bishop has written a clear and concise document on the matter. H.E. Listecki could re-publish it and tell his priests that he expects them to....ahhh....shut up and obey. (Of course, he might then be called a "fusspot", as is--apparently--the Bishop of Phoenix.)
The Catechism of the Catholic Church (#1157) makes a direct reference to St. Augustine’s experience when it teaches that the music and song of the liturgy “participate in the purpose of the liturgical words and actions: the glory of God and the sanctification of the faithful.”
Priorities, Your Excellency.