No there’s actually a formal division there. While it is (mostly) the American body of the Anglican Church, there’s a certain level of division, and some significant differences. Specifically around the time of the American Revolution the church ditched any and all connections (religious or otherwise) to the English monarchy. They maintain themselves pretty much independently of Anglican structures, and often take opposing political and theological positions from the rest of Anglicanism.
There’s also this weird division with in Anglicanism as a whole. There’s an Anglo-Catholic tradition that views the church(es) as a direct outgrowth and continuation of Catholicism, and so takes a lot of liturgical and theological basis from the Catholic Church. And then there’s a Protestant tradition that views itself as an entirely protestant faith and nested within the traditions of mainline Protestantism. The Protestant wing is (from what I can tell) the more dominant strain in Anglican Churches (particularly Ireland where a lot of noise is made about the Church being too Catholic). And has traditionally been (in Europe) the more liberal (politically and theologically) part of the Church, with the Anglo Catholics being pretty rigidly traditionalist and hard line.
But it gets weirder. In the US Anglo-Catholics are the dominant strain. To the point where the church is often described as “Catholic Lite” and “Protestant, yet Catholic”. You see the Anglicans, and Church of England specifically are far more conservative over all than the Episcopalian Church. So your protestant rite Episcopalians tends to be the more conservative congregations here. They’re all about deference too, ties to, and being effectively run by the Anglican structures over in Europe. Where as the Episcopalian Church as a whole, with its Anglo-Catholic bias. Is pretty much all about running itself, while viewing the Arch Bishop of Canterbury and the Pope as equally important (which is apparently not very important, basically figure heads). So we weren’t supposed to be fond of Anglicans. Because they didn’t want us to have those gay priests, Catholic features, or be involved in all the crazy ecumenical stuff the Episcopalian church sees as central. We shared clergy with Lutherans, Presbyterians, and sometimes even Catholics (hence the nuns). And frequently had visiting Rabbis, Imams, Atheists give the sermons. And studied a hell of a lot of non-biblical sources as critically important for theological discussion. I wasn’t lying about learning about evolution at church. Before my public school had gotten to it our Priest actually sat all the Sunday school kids down and taught a pretty good little science lesson about it. And we later had a biology professor from the local university as a Sunday School teacher. I am (and was at the time) an Atheist, but I still think it was all pretty cool.
It gets weirder though. Cause there are Episcopalian churches in other parts of the world now. And a scattered amount of Anglican Churches in the US. Some of those are part of the Episcopalian Church, and just use the other name. But some of them are directly connected to Anglican bodies in other countries. Seem to mostly be more modern churches for Immigrant/expat communities. Frankly I think on a long enough time line, if the political disputes continue, you’ll see a total separation. The two bodies are almost entirely independent of one another already.
