Just been reading Peter Adam’s St. Antholin’s Lecture, Gospel Trials in 1662: To Stay or To Go? for reasons I will explain if I have more time, when I read this paragraph:

Two groups of people prefer the theory that Puritans cannot be Anglicans, nor can Anglicans be Puritans. Some Nonconformists may take this view because they want to emphasize the gulf between Anglicanism and Puritanism, to show that true Puritanism is found outside Anglicanism. Some Anglican writers take this view because they want to claim that Puritanism has no place in mainstream Anglicanism. However Patrick Collinson has shown that Puritanism was part of Anglicanism: ‘our modern conception [that] Anglicanism commonly excludes puritanism is a distortion of part of our religious history.’

Yep.