As stated in the game itself, Godpoke and King look sort of alike, and that's still canon for Kool (tho unlike og Godpoke, it never cosplayed King, but always had cowgirl clothes)
Kool & King look alike mostly due to their clothes preferences, but without hats they are not similar at all
Also Kool is scared of King at first, even knowing that Inspekta's description of her was a lie ("Evil" King taken a root in Kool's head due to him)
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Not me yapping about Kool-King similarity\difference lore down below
This also works as a depersonalization method, if we are talking about the deep meaning of the game (more like an AU)
Cuz I believe that Grove people sort of idealized King, less seeing her like a real person and more like a saint (I mean, they did turn away from her in a short time, and only Miss M and Razz thought it's not like their King??(THO they still believed that))
So basically in this AU people just run along with the "new" version of King (Kool), cuz it looks alike their ex-godpoke. And for the most of the game Kool just goes like "no Im not King??? fcuk you guys" (ppl don't really listen lol)
At some point Inspekta even uses that, spreading lies and gossips between mortal ppl of HobbyHoo, that Kool is just King's follower and wants to make situation even worse (cuz yk, she disturbs his plan and all). That makes Kool's HobbyHoo experience really bad, but triggers the Rebellion in BuzzHuzz later
The depersonalization of both King and Kool ends at the Spire, cuz both of them lost their hats (I mean, wind from the Rift must be stronger near it), and they not only really different from each other, but also (not) lowkey scared and tired (cuz they are just mortals and Inspekta is a literal god)
Meet my Great God Grove Godpoke Sona (oc???)
Her name is Kool Hat, and she uses she\it
Poor gal just trying to return the Megapon, but ends up as a temporal godpoke :[
Unfortunately, it also has dyslexia; Letters in it's words usually swap places when Kool talks, so it doesn't talk much
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Her fullbody + couple of facts are below<3 (+ King & Razz)
✧ Kool doesn't look like King, but they have a lot of similar elements in clothes, that make people compare them
✧ Kool hates that, cuz it's jealous that King is taller
✧ Kool is cat coded, she can purr, always lands on her feet, and HATES water
✧ Kool mostly walks on two legs, but in some cases it can run on all fours, which is much faster
✧ Kool also has pretty sensitive ears, and is dazzled by loud sounds