In cases of public meetings especially, there might be press reporters, stakeholders and others posting questions back to back and a good speaker is one who is able to answer all of them amicably though not with correct and satisfactory answers.
This crisis management training happens as one of the important segments of public speaking skills. So it is not just about learning to speak in the public addressing a larger group but is also about managing and tacklin.
This is a situation to anybody and everybody and hence getting to hone the speaking skills is very important for all. There are many coaching centers and institutes that help people in doing this better and efficiently.
Unfortunately, we have more speakers of this kind than the former ones and anybody and everybody are taking the podium today to talk anything and everything. It is not about not answering but about how you manage the people around you and this is what is taught along with the other nuances of public speaking in these training centers.