Since 2 days state workers are on strike demanding a political opening of the power to multiparty and democracy.
http://www.afrik.com/article12182.html
(The article is in French Sorry)
I think the question behind the threat is at what moment a legitimate power loose its legitimacy. I mean, in the case of Swaziland it is just obvious that no one will even try to support Mswati III. But he is the legitimate power and political parties are forbidden and direct critics of the King are illegal and punishable. So there is no room for political dialog. So the only way to bring political agenda in such case is violence, which makes of you an insurgent.