Shakespeare the coiner of 1700 words??!

This article discusses the myth that Shakespeare coined 1700 words and is largely responsible for the English language. While the author rejects this number, he largely shares the view of Shakespeare’s prodigious contribution to the English lexicon:
http://www.openculture.com/2018/04/the-1700-words-invented-by-shakespeare.html
However, Jonathan Culpeper (Lancaster University) has compared Shakespeare’s language with that of his contemporaries and has largely debunked the idea of Shakespeare’s vast contribution to the English lexicon (see http://www.research.lancs.ac.uk/portal/en/upmprojects/encyclopaedia-of-shakespeares-language(a5856ca6-dbde-425d-a028-ce4e424ab619).html)