And now we have the age-old confusion about "refute", "dispute" and "deny".
To refute something is to demonstrate conclusively and indisputably that it is false, with sufficient cogency to stand up in a court of law.
To dispute something is to suggest that it is false, providing evidence to support this view.
To deny something is to say it is false, but give no particular reason for this assertion.
As in, the suggestion that Trump won the 2020 presidential election because of widespread voter fraud has been refuted by every court in the USA that has investigated such an allegation, bar none. Many of Trump's followers dispute the courts' conclusions, citing various spurious reasons they have for believing Trump won. Trump simply denies that he lost.
Every time a lie is not shown to be a lie, idiots think that means "there must be something in it".
And while you may believe that "It is just statistically impossible that every single person on the planet who doesn't agree with JKR has never ever ever given an answer to the questions above." it is absolutely possible that nobody has been able to give a cogent answer to those questions, because it is not possible to do so.
Ooops, sorry: Cogent. Convincing or believable by virtue of forcible, clear, or incisive presentation; telling, to the point; relevant; pertinent. IE not woffle at length to the effect "I don't agree with what I assume she said so she is wrong, and look, here, she uses the word trans, she is obviously transphobic."