Remarkably well — though they arose independently.
Archetypes: The 10 Day Masters and 10 Gods function like Jungian archetypes. Jia Wood is the King/Father; Ding Fire is the Lover/Muse; 7 Killings is the Warrior/Shadow. The chart describes your archetypal cast.
The Self: The Day Master, especially when balanced by its Useful God, represents the integrated Self — the center around which the psyche organizes.
Shadow: The unfavorable Gods in your chart, especially the ones you repress or project onto others, function like Jung's Shadow. A person with a strong but denied Hurting Officer may criticize others for being "dramatic" while secretly craving expression.
Individuation: The process of understanding your chart, integrating its challenges, and aligning with your Useful God mirrors Jung's individuation — becoming the unique, whole person you were born to be.
BaZi is essentially a typological map of the psyche expressed through elemental language.