Victor said:
Catholic means universal in the sense that it's unified as well. There is over 23 different rites in the Umbrella of Catholicism. All of which are in union with the Pope. "Roman Catholic" is but one rite of many. But I can assure you that Arian Catholic is not under papal jurisdiction. Not sure why they would want to keep the name.
We're not under papal jurisdiction either but what westerners call the Eastern Orthodox Church is actually the Holy Orthodox
Catholic Church. Catholic does not mean RC and nor does it mean universal (despite what most westerners think). It's from the Greek kata holos, which means 'according to the whole'. This is a narrow portion of the meaning universal, which is actually best translated as ecumenical not catholic (hence St. Gregory the Great's opposition to the title of the Patriarch of Constantinople).
Arian Catholic is, however, an oxymoron. The Arians did not adhere to the faith according to the whole. They, in fact, chose to break communion with the vast majority of the Church over a new teaching with an identifiable origin (in the person of the priest Arius) rather than adhere to the Catholic faith. They then did not believe in the Catholic faith as they could not fulfill a single of St. Vincent of Lerins criteria for identifying that faith - it was neither believed by all, nor always, nor everywhere, being predominantly eastern (and even then a minority), and having no roots in the faith prior to the fourth century.
James
EDIT:
Just took a look at the Arian Catholic church's teachings and, interestingly, they appear to be teaching Adoptionalism rather than Arianism. Arius did not teach that Christ was simply a man who was the spiritual son of God but rather that Christ was a lesser god (but divine nonetheless) who was incarnate as man but was not consubstantial with the Father. Unless the Wikipedia article is incorrect, the Arian Catholic Church ought to change it's name as the LDS teachings are closer to Arius's than these are.