just going off what we seen priorcrazy how haki has so many upgrades and branching skills like observation haki can evolve into pre cognition or feeling the "intent" from attacks now armament can do internal damage for tough defenses. this jus means we have a lot to get to when king's haki gets explained
Kings Haki seems to be able to control or manipulate the wheather/area around you. Which makes sense as the other abilties involve controlling animals,beast, and monsters to your will. and knocking people out without lifiting a finger
Plus Haki can be summed up like this
Observation - Mental/pshychic: Telepathy, mind reading, future seeing, and probably many more psychic like abilties
Armanent - physical: Shockwaves, invisible armor, Barrier creation, cause damage from the inside, and many more abilties to come
Conqueror - control/manipulator(lack of better better words.)
Conqueror has shown feats where everything about is having dominance/control on things and we see it with how the users can force, destroy and move: objects, people, and weather.