The song and dance is all about it being the BBC, publicly funded etc. Many people, journalists included, don't realise quite how many fingers the Beeb has in how many commercial pies. They see it simplistically as "our money" which, if they don't like the people or the shows involved, is being "wasted".
You don't see an outcry if somebody is offered a huge salary by ITV, which has happened often enough, even though commercial TV is still funded by the public through advertising, the cost of which is added to every product and service they buy.
Clarkson was also alerted by Danny Baker to the fact that there was a poll on whether he deserved his salary. I got the impression that Clarkson intended to vote in it - I hope he voted no.
Edit: Are you planning to keep that avatar, Cobol? Not nice. Not nice at all...