Their argument is based on opinions of morality and soft-truths, but they're casting it like an objective problem (which it is not). The author even feels the need to admit as much at the end, simply acknowledging that the cycle of sexualization will always continue, regardless of our opinion on it.
So, with that being said, I'd say it absolutely compromises their argument here. If the author is gullible enough to fall for garden-variety conspiracy theories, why should I trust their authority on morality? Their rhetorical triangle is broken. They have no credibility, they make no appeals to logic (and contradict themselves) which leaves them only with pathos - the ability to outrage and incense their audience based on emotional appeals.