Evangelicals are not Puritans, nor is there a theological ancestry from modern evangelical christianity to Puritanism.

That’s precisely what I meant. Both have religion in spades - but only one has a toxic culture around it. It probably helps that Portugal was a neighbour to religious lunatics for much of its existence, and even had a few deeply unpopular monarchs who invited the inquisition in. It’s still there in the cultural memory - they take god seriously, but the idea of religious persecution and the involvement of church in state is pretty much anathema to the average Portuguese.