I am not sure technical understanding is really the necessary item. I think it comes down to understanding the implications on your daily life. I know I get caught up in explaining the technical workings of things, but the best explanations to a general audience are almost always the little stories about what this will do in real life (tech example: technical specifications vs an Apple product introduction).
I guess I am in "the technical understanding makes it much easier to see all the implications, but I think understanding just the implications is good enough" camp. I am not sure this is a good thing, but with all the stuff in life, it might have to do.
Taking an example, I think the whole school webcam spying story is ripe for this type of thing. Really, I think the technical understanding is well above the heads of most people (including some tech writers I see). But, the implications won't be lost on any father of a teenage daughter. I expect that with our current media's prejudice towards the juicy, if the student who was suspended at the start of this was female and not male, well...