There's a segment of the population that would be enormously relieved if phrases like a question that begs an answer replaced the usual begs the question uses. These are people who think using beg the question to mean "to cause someone to ask a specified question as a reaction or response" is completely and thoroughly wrong. There are probably more of these people than you think, and they are judging the rest of us.
Well put M-W staff writer, well put.