Lone survivor of his hometown’s destruction
Savior of Goofy in Marineford arc
The catalyst for turning gears of New World
The MVP against takedown of a Yonko chasing after Goofy
Clashed with another Yonko and made the Fleet Admiral shit his pants
All this without CoC, just DF, his knowledge and wits. Goofy carried by Law’s leadership in the alliance, without him there would be no getting to Zoa, Doffy wouldn’t be in life-support mode, Kaido would still come after Doffy regardless. Had to clean up after Goofy’s mess in bringing BM to Wano by sending her down a hole. Law not having CoC is just a way for Oda to nerf him actively
The thing is tho.
Law needed Kid's help to merely have a situational victory over Big Mom. He never actually clashed with her or had to overpower her, like Luffy did, but only landed his hits via sneak attack.
He also started off the fight against Teach going all out with awakening, whereas teach was barely serious. Teach beat Law without using any of his top moves, which had he used them would have caused damage on a global scale.
All of which is to say, if Law doesn't get CoC then he basically caps at admiral level.
Law should get CoC tho. He is ultimately a 3 billion berry pirate captain. If he wants to remain a captain and protect his crew from the yonko, he will need to develop a kingly disposition.
It should also be noted that Law's mentor when he was young was Doflamingo, who was a conqueror.
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What Oda will probably do is greatly expand on CoC in elbaf.
Luffy will get the ability to negate the yami
Zoro will get observation haki killing
Law will just get entry level ACoC(what Zoro currently has), allowing him to keep up but not be overpowered.