No, you misread what I said. His Warwickshire upbringing isn't relevant. His classmates grew up in Warwickshire and received the same education. So why aren't all of them great playwrights like Shakespeares? Because it is not possible to explain the man's art by his Warwickshire upbringing.
The thrust of the article is that Shakespeare because of his childhood background, had a new vision of England. Point being that not every Warwickshire man could express it, but that only someone from Warwickshire (or similar backwater) could have expressed it.
You may choose to criticise the article on your own grounds, then, but my criticism is that any work which wants to dwell on his childhood Warwickshire roots without dwelling on his childhood religion is being tendentious.
You instead chose to impugn me for making this criticism—which makes me think you don’t like to consider the evidence of Shakespeare’s childhood religion either.