ChrisE, that 'begs the question' doesn't bother me as much as many other things. I think here it's a case of (originally) erroneous usage becoming so widespread that the new usage becomes normalised. We may not like it, but things change. Even Chambers includes 'to raise an issue for debate' as one of the definitions of 'beg the question'. There's an added 'non-standard', of course!
When you heard the phrase on television today, your immediate thought was 'that's not what it means' - but to many others, that WAS what it meant. Once generations of people have assumed a word means something and it's been used in a certain way for decades, there's very little we can do to reclaim the original use.