While I agree with what you wrote, I’d argue that there might be a better name for your viewpoint. “Neopuritanism” is really just another attempt to lambast the puritans as a group. It’s a sad and tired revisionist trope.

The puritans were largely rebelling from persecution in England and surrounding areas as a continuation of the reformation. They were largely martyred by their own people for their beliefs. Again, it’s a shame that most people only associate that group of people with the fictional work “the scarlet letter” or “the Salem witch trials”.