The word “lucid” has not exactly the same meaning IRL and in dreams. IRL, it generally means a state when you use reason, you are quiet and you aren’t overwhelmed by emotion. Moreover, it’s completely relative. Somebody can think he’s lucid though an observer can think it’s not the case at all (a common example is when you drink too much 
).
Concerning lucid dream, the word “lucid” only refers to a precise definition: lucid = knowing that you’re dreaming.
This being said, people practising meditation (for instance buddhist monks) think that they can reach IRL a certain sort of “lucidity” that is called “clarity”. This state doesn’t consist (as far as I understand) in being aware of all the problems of the world - they are a little bit numerous too much - but in freeing oneself of emotional veils (which create those problems). They say that if you are not far from clarity, you’re likely to have more lucid dreams. This assumption is not completely stupid cause you can notice that what makes you believe that dreams are real (so that you don’t realise they are dreams) is you implication in them, because of strong emotional links.
About the girl, I don’t know. Some people have LD’s naturally but I’m always extremely skeptic when people pretend they are sort of heroes. You can find this sort of people everywhere, even on this forum. As a term of comparison, you perhaps know the LD’er Florence Ghibellini, she’s certainly one of the very best french LD’ers. She doesn’t have LDs every night.
Here is its part II.