I did send a couple of emails to BBC radio 5 live and one to Private Eye.
I gave an example of begging the question and said what they really meant to say was 'that raises the question'. I said I was sure if they said to the mirror over and over 'that raises the question', it'd eventually become natural.
The Beeb actually responded and for a while, especially on the Today programme, they took to saying 'that poses the question' [Brits can't be told]. Now they have got to either 'that raises the question' of 'the question then is'.
What may have done the trick was my p.s. to the Eye:-