I am taking right to the heart of the issue and making a new 'story' ..... why not, its a new deck and a new Aeon
Not everyone will be clear on it, as some are still 'old aeonic' ... even partially.
The story works fine for old aeon princesses that need need redeeming and kings that rule with a queen as some sort of passive consort. Like the Waite deck, the whole thing seems mixed up, convoluted, old-fashioned and needs acrobatic justifications to make all the systems interlock nicely . Which they won't , of course, hence all the confusion.
Why do we need a king AND a queen ? We dont. Who is the current King of the British Empire ? Why do we need a King if we have a Queen?
What is important is the 2nd stage of the process ... the 'Queen Scale' .... calling it a King or anything else is immaterial. We have these 4 stages, that are best observed by observing nature itself (and not some unnatural human political hierarchy ).
Queen (or King ) is the ruler from the 'concealed' or ' from the rear' ( or 'at home at the castle' ) position. The Knight, being active , 'goes forth' or is sent out. I won't go on , as most posters here will understand what these 4 levels of operation are .
Going back to my old favourite (that I have a few posts around here on) ; Don Pavey , a color theorist , who realised the same classifications. His first level ( the knight) of colours, he says are colours that 'scream' , that 'burst forth' that 'attack' the senses 'demand attention'. Modern fluro colors used in warning signs, to bring attention, advertising, safety clothing, etc.
The next he calls colors that 'command' ( natural primaries ; such as the red , yellow , green of traffic control lights, etc. ) These are the central 'ruling colours' that all the others are drawn from, even though they are 2nd in position. The third level of colours ( our Princes) are the main colours we use in their blends and mixtures and the 4th , more subtle (like the Princesses level) are soft and 'mute tones', pale or pastels.
So, IMO , the King or Queen on throne or chariot is the 2nd position , the Knight, on horseback needs to be first. And I would put the Prince in a third position as trainee ruler , learning statehood and martial skills ) and the Princess , at a previous stage, not yet required to take on as much responsibility but holding power in potential, as yet undefined yet mutable .
That way we still have the trad 4 elements interacting in their hierarchy, an elimination of the king as we dont need one if we have a queen, and 2 of each sex out of the 4 courts.
I am also seeing a similar set up in the psychological dynamic of Thoth ATU XI - the knight is the 'Beast' and the King/Queen 'The Bride' . The Beast is energetic and forthright and is the vehicle that brings forth the Bride.
Also in the psychological dynamic suggested by Liber Resh;
" ... Tahuti standeth in His splendour at the prow, and Ra-Hoor abideth at the helm. "
Here , I see Tahuti as 'Queen' standing at the prow giving directions; the look out, the observer, the one that chooses where to go. Ra-hoor, the 'active principle' at the helm driving the boat forward at the direction from the prow, the active Knight.
[ The 'splendour' of Tahuti can relate to the 'shimmering' quality of that species of Ibis that the Egyptians equated with the ' perfected soul' . The guidance of this quality draws the human soul - a mix of 'animal soul - nephesh- Kha (Princess), the human 'spirit' - ka ( Prince) along the path of 'developing perfection' - Ba (Knight) .... towards 'immortal spirit' - Akh - the 'splendid Ibis' (Queen) . ]