Earlier quoted context omitted.
From what I read on wiki, I'm not sure what to think anymore - it does at least sound inline with the opinion that the current websites are actually HATeOAS. I guess someone interested would have to read the original work by Roy (who seems to have come up with the term) to find out which opinion is true
I worked on frontend projects and API designs directly related to trying to achieve HATEOAS, in a general, practical sense, for years. Browsing the modern web is not it.
The only thing that would have made the web not conform to HATEOAS were if browsers had to have code that's specific to, say, google.com, or maybe to Apache servers. The only example of anything like this on the modern web is the special log in integrations that Microsoft and Google added for their own web properties - that is indeed a break of the HATEOAS paradigm.