I'll ask it this way: Which of the Newman Society-endorsed Catholic universities, when evaluated with Catholic higher ed peers in terms of academic quality, research, outreach,  grants, selectivity, publications, facilities, and the other objective criteria for academic quality at ANY university, comes anywhere close to matching, say, Notre Dame, Georgetown, Fordham, and Boston College, all of which are proven GREAT CATHOLIC and CATHOLIC GREAT universities (unless you have objective evidence to the contrary).