Actually not all children can Lucid Dream
Cant find where I said that they do, I did say that the mind is in constant REM state and that is the state we tend to use to define lucid dreaming.
I have also been lucid dreaming for about 45 years and a long time before I knew it had a name. Its been a journey of self taught learning for most of it and only in recent years any interaction with other dreamers.
I think that understanding that you are lucid and being lucid are not the same thing. Kids in the first part of life are almost permanently in the REM state, this is if I recall correctly at up to 1 or 2 years old.
You most likely had the mind that dug deeper and got past surface issues and wanted to understand more and so puzzled away with whatever got your interest.
Understand about cloning but use different terms and in hindsight with bad sleeping habits all my life I have spend a lot of that with my body asleep while lying in bed but with eyes open "feeling funny" until I lose it or drift out into an OBE.
All good and makes life that much richer
Who are you I asked, the reply "dont be silly, we are your daughers" many years before they were born