The transcript doesn’t seem to be finished, the part that the author uses to support their thesis is this excerpt in the article

"...especially in all those subjects where use of [such a language] may be free and where interest and authority do not intercept, the regular exercise thereof which I conceive to be the great antagonists which may impede its progress..."

“Hooke had some proto-liberal views” would be a more grounded interpretation.

Dunno about the blogger's months-long effort, but I put a transcript here just now: https://news.ycombinator.com/item?id=45807320