"In Joseph Campbell's Hero's Journey, the hero who unites with his father experiences maturity and rebirth, if he passes his father's tests."
The father is a metaphor. So he may or may not be one of your archetypes.
The father doesn't have to assign tests.
The father is a metaphor for frames of references, guiding forces, limitations and similar. What you're doing is transcending those.
More info / buy the 2000+ stage Hero's Journey And Transformation Through A New World / State at http://www.clickok.co.uk/index4.html or http://www.kalbashir.com