Annals Of Religious Labels

Wat https://t.co/7F9V8C0Scq

— LesserHat* (@Popehat) February 14, 2021

which led to this:

You may owe Sean an apology there is a concept of Evangelical Catholic which I confess not being familiar with but apparently this is what Mike Pence calls himself onehttps://t.co/gOfu5LKwR9

— lavenderlicious (@lavender1980) February 15, 2021

Well, yes, Pence is a bit of a "wandering Catholic."

Growing up in an Irish Catholic family that reportedly revered the Kennedys, Pence served as an altar boy and went to parochial school in Columbus, Ind., according to Fehrman. He then made a “commitment to Christ” while taking part in a nondenominational Christian student group in college.

Pence told The Indianapolis Star that he and his family attended Grace Evangelical Church in the 1990s, but by 2013, he told Fehrman, they were “kind of looking for a church.”

The vice president returned to his Catholic roots earlier this year, meeting Pope Francis at the Vatican before the coronavirus pandemic halted travel. The visit “made me a hero” in the United States, he enthused to the pope.

But the term "evangelical Catholic" was, probably unbeknownst to Pence, already taken: 

The term Evangelical Catholic (from catholic meaning universal and evangelical meaning Gospel-centered) is used in Lutheranism, alongside the term Augsburg Catholic, with those calling themselves Evangelical Catholic Lutherans or Lutherans of Evangelical Catholic churchmanship stressing the catholicity of historic Lutheranism in liturgy (such as the Mass), beliefs (such as the perpetual virginity of Mary), practices (such as genuflection), and doctrines (such as apostolic succession). Evangelical Catholics teach that Lutheranism at its core "is deeply and fundamentally catholic". The majority of Evangelical Catholic Lutheran clergy and parishes are members of mainstream Lutheran denominations. 

On the other hand:

As used by the Roman Catholic Church, the term evangelical Catholic refers to Roman Catholics in full communion with the Holy See in Rome who exhibit, according to Alister McGrath, the four characteristics of evangelicalism. The first is a strong theological and devotional emphasis on the Christian scriptures. Secondly, evangelical Catholics stress the life, death, and resurrection of Jesus Christ as the cause of salvation for all mankind. A personal need for interior conversion is the third defining mark, and, consequently, the fourth is a deep commitment to evangelization.

On the other, other hand:

In recent years, the term Evangelical Catholic, has been adopted by high church elements of the Methodist and Reformed Churches. This is especially apt among the Reformed, given that one of the older documented uses of the term is by John Williamson Nevin and Philip Schaff, during their efforts (from roughly 1841 forward) to repristinate the theology of the German Reformed Church in the United States. In 1849 the Mercersburg Review was founded as the organ of their "Mercersburg Theology".

And to further complicate matters;

Some members of various Christian denominations may use the term Evangelical Catholic to indicate the fact that they are evangelical and maintain their catholicity. For example, Methodists and Presbyterians believe their denominations owe their origins to the Apostles and the early church, but do not claim descent from ancient church structures such as the episcopate. However, both of these churches hold that they are a part of the catholic (universal) church. According to Harper's New Monthly Magazine:

The various Protestant sects can not constitute one church because they have no intercommunion...each Protestant Church, whether Methodist or Baptist or whatever, is in perfect communion with itself everywhere as the Roman Catholic; and in this respect, consequently, the Roman Catholic has no advantage or superiority, except in the point of numbers. As a further necessary consequence, it is plain that the Roman Church is no more Catholic in any sense than a Methodist or a Baptist.

— Henry Mills Alden

As such, according to one viewpoint, for those who "belong to the Church," the term Methodist Catholic, or Presbyterian Catholic, or Baptist Catholic, is as proper as the term Roman Catholic. It simply means that body of Christian believers over the world who agree in their religious views, and accept the same ecclesiastical forms.

 None of this sounds like anything like what is described in the quoted tweet. Sean owes us all an apology.