'Any more' itself is an adverb according to the second link in post #25 above.
Scroll down to 'Any more as an adverb' there.
I am not a teacher/native speaker/grammarian, so please forgive me if I am wrong.
OK, I'll try to explain it to you.
First, as for your second link, I agree with what Cambridge dictionary says there - the "any more"s in those example sentences are all adverbial. I have no objection to it.
In your first link, there's an example sentence:
She refused to listen any more. (adverb)
Now, please look at
this dictionary. It says:
I'm not going to listen to any more of your lies. (pronoun)
So, the phrase "any more" is not necessarily adverbial.
I hope you'll understand what I mean.