Lucid is a really loaded word, that can cause a lot of confusion, a psychologist will have a different understanding of the word due to it's clinical use.
It is probably too late, once a term slips into popular consciousness it is pretty much stuck there.

It is a bit of a shame because recognized dream may be a more accurate term, as in "I recognized my dream last night" or "a recognized dream is a dream in which a person recognizes that they are dreaming while they are having the dream."

It doesn't matter how clear, vivid or how much control a person has, if the dreamer doesn't realize that it is a dream while inside it, it isn't a lucid/recognized dream.