"...seems like as clear-cut a case of fair use as can be imagined." They don't 'claim this is,' they say 'seems like.' And with that phrase, I am primed to read a sentence later in the paragraph on why that's not the case.
The article goes on to say "copyright law explicitly mentions commentary and criticism as justifications for fair use." I don't even see a mention of 'political use' to defend the "seems like" phrasing.
Unless they edited the article between views, I'd suggest you've incorrectly characterized the article.