I have my own theories of being ''lucid''.
I think a more (better) definition of lucid dreaming would be to BE capable of taking control.

Why you say?
because if you are aware of your ''dreaming state'', yet not capable of doing anything but observing and letting the dream progress. It's no better than recalling a dream after you awaken.

Only difference is: You see it while you are dreaming it, and a dream recall is afterwards.
So I also substitute my own.

However, I guess that if you apply that definition, then you're correct. (But doesn't the guideline say to do some research on this before posting?)