That's a stretch. Your link says
> Is this HTML5?
> In short: Yes.
See also [1].
That HTML5 was used in marketing doesn't make the technical term disappear. HTML5 is a bit more precise than HTML, it refers to the living standard that's currently in use, as opposed to HTML 4.01 and the previous versions of HTML.
It's not a technical term. Nowhere in the current HTML standard will you find a versioning of HTML. That's why it's now called a "living standard". You will never find a HTML6 or higher. That note you found is to help with any confusion.