It's because the firebox is so much shallower. The deep box on the king and Princess causes more turbulence which interrupts the airwash.
I think webby had the right idea, but stated it backwards. A larger firebox is going to cause a greater drop in velocity for the same volume of air. This low air velocity may be why some claim the air wash on the King and Princess does not work as well as the Ashford.Not following, how does the deeper firebox create more turbulence? Why do non-cat, deep firebox stoves seem to evade this issue?
This theory holds true, whether you're talking about carburetors, dust collectors, or material separators. Dump your high velocity flow thru a large cross-section, and velocity drops.