If the BBC are to interview and introduce someone, they should go to the courtesy of getting her title correct. It matters to that organisation or they wouldn't have gone to the trouble of deciding on that term.
People have titles, Her Majesty the Queen for example. Are you saying an ignorant should be able to call Her Majesty what they like because they are lazy?
I have always found the title 'Chair' or 'The Chair' to sound daft, but if that is what people wished to be called, then it is good manners to call them so.