More broadly, I think this discussion is a stupid one. There is no formal, mathematically precise definition of a programming language. There are formal definitions of lots of PL-related things, and for what a language is in general (a combination of syntax and semantics), but there's no formal definition of the term "programming language" that's useful here.
So if we're not arguing about a formal definition, then we're arguing about essentially our favourite dictionaries, and how we personally interpret our favourite dictionaries. And that's just not a useful argument at all, it's not even how dictionaries are meant to work! And yet whenever someone dares to write "HTML programming language" or something similar, there is always a comment from someone demanding that the author use their personal dictionary, and correct their changes. And it is deeply grating, because whenever I see this happen:
* The original statement is never ambiguous. I have never seen a situation where referring to HTML as a programming language has ever caused some sort of confusion.
* The discussion about whether HTML is a programming language is almost always completely irrelevant to the topic at hand, and bringing it up adds no value to the discussion.
* The author's definition is usually inconsistent anyway. Which isn't a problem — I don't imagine my mental definition of a programming language is entirely consistent either — but it's dumb watching someone try and correct other people without understanding their own definition enough to be able to respond to clarifying questions.
In your original comment, you said "it's not really a debate", and that's completely correct. It's not a debate because there's no right answer. There's not even any value to a right answer. The matter is entirely a question of terminology. And if different choices of terminology make things unclear, then it might be worth clarifying that terminology, but here I don't think the author could have been any clearer at all about what they were trying to communicate.