There's a suggestion that more things will come out in the Telegraph during the week (all of which has been made available to the FA by now), so it might be even more damning that it already is.
I don't think it is a media witchhunt, because I've seen articles on both sides, some saying it's irredeemable and others saying it's a silly mistake but not sackable.
Ultimately, he's in the most prestigious job in English football, extremely highly paid and he's been recorded advising people how to circumnavigate the rules of his employer. There will be things in his contract about upholding and representing the core values of the organisation, as there always are. So it seems that they have enough to sack him, if they choose to.