He say that he took a nap in his dream. And in that nap (in the DREAM) he had an LD.
I think that is called a FLD (False Lucid Dream).
I haven’t had one, but I don’t think you can count it as an LD, but you’re probably a good step closer to your first good LD 
It’s also quite common that people dream about subjects relating to LD, but they still don’t get it (like me)!
He also say that he dream more frequently of what he wants, isn’t that by using autosuggestion? Then I guess he can try to tell himself to wake up in his dreams.
If you’re motivated enough, try WBTB