The reason people are saying 'MILD' is because MILD uses prospective memory. Everyone is throwing that out because you are saying 'i said to myself that i want a lucid dream'.

DILD just means, yes, the lucidity happened while you were already asleep/in a dream.

So you were laying down, unconscious, and then realized you were dreaming? DILD
Or, you were laying down, remained conscious, and knew you were dreaming? WILD