England doesn't need to be a super-special snowflake AND weaken the Protestant side of the balance of power by having a snowflake religion that adds little to nothing of value to the game.
That may be a case within EU4, but it does mean that the game is not matching the realities of 16/17th centuries within the UK.
Anglicanism can be regarded as a 'soft' Protestantism, as a version of Catholicism with the Pope replaced by the Head of State. They controlled England, Wales and Ireland, at the government level, with the Irish people still Catholic. Scotland followed a 'hard' Protestantism line through John Knox and could be regarded as Calvinist.
You can see, to a degree, the differences between them during the English Civil War between the Parliamentarians and Royalists. Although the problems were based on differences between a Parliamentarian based government against a Royal based government it is also clear that the Parliamentarians were 'hard' Protestants and Royalists were 'soft' Protestants.
You also have to look at the Anglicanism anti-Catholic view during the 16th-18th centuries. Not just a difference of view but a religious war. Anglicanism was strongly afraid of a Catholic takeover, which shows up in the Guy Fawkes attempt to destroy the government, the removal of James II and VII, and the transfer of the Royal power to Dutch and German members of the Royal tree. The Act of Settlement 1701,
which is still in force, excluded Roman Catholics, or those who marry Catholics, from succession to the English throne.