That's lovely, and if that's accurate, the word "dominance" isn't the right word.

The definition of "submit" is "to accept or yield to a superior force or to the authority or will of another person." This is never what we should want for those we claim to care for.

When we care about someone we support their full development and individuation.

Perhaps we could find some better words for what you describe. Maybe trust and responsibility are better words?