Anglicanism is influenced by diverse Christian traditions - principally Catholicism, Lutheranism and Calvinism. At different times and in different places, these various traditions may be more or less strongly expressed in different branches of Anglicanism, and within an Anglican church it's often possible to identify different "wings" associated with different traditions.
The CofE has traditionally had (at least) two "wings", a high-church wing in which the Catholic tradition is fairly strongly expressed (more Catholic-like liturgical traditions, an emphasis on the CofE's theological inheritance from Catholicism, etc) a and a low-church wing which is more Calvinist.
In the 18th century, there were tiny numbers of actual Catholics in Great Britain and, while Catholic powers were seen as a foreign threat, there was no perception of a serious Catholic threat to the Protestant establishment from within Great Britain. However there was a strong Calvinist movement within Great Britain (most notably in the form of the Church of Scotland) and the CofE tended to distinguish itself from Calvinism by having a prominent high-church wing.
The position of the CofI was different. In the first place, although it was the established church, it was a minority church. There was a sense of a need to stick together, and of not having the luxury of tension between opposing wings. In the second place, the predominant need was to distinguish Anglicanism from the predominant Catholicism. Between these two factors, Irish Anglicans in the 19th century tended to be fairly closely grouped around a median position, which was (in Anglican terms) a relatively Calvinist one.
So, yeah, the CofI in the 18th century (and well beyond) tended, on average, to be a bit more Calvinist than the CofE. But not as Calvinist as the actual Calvinists, obviously.