I agree that nobody can have it both ways. But as I keep saying, the two things are not the same because of the context. What AE said was on Twitter, and cannot be compared to what is said on a TV News channel, which is subject to the rules of OFCOM. Twitter is a cesspit, and all manner of horrible things are said there, but that is because it is unregulated. TV is not.
If the debate had been about 'shaggability' (I know!) then fair enough, but it wasn't. Women should be able to be taken as they come on TV, without their appearance or fanciableness mattering at all. ( I shouldn't have to say it, but so should men!)
Her Twitter comments sound unedifying, but it is not having it both ways to say that they shouldn't follow her to a supposedly professional debate on a regulated TV channel.
If we want Tweets to be comparable to GB News, the alternative is to have GB News unregulated (and other channels would follow suit). Then we would see what people really think, and it would be hideous.
As it stands, GB News is subject to laws that Twitter is not (and this is for the best, IMO) and also subject to public opinion. Nearly 8000 people complained about Fox, so they fell foul of that public opinion, as well as of the OFCOM rules.