Law isn’t the type of person to have conquerors, he just doesnt have the ambitions for it, he never stood out as the type of person to really have ambitions and anything like Kid, kid has these ambitions, he is the type of person to have it, hes very passionate. King doesn’t have a goal like Koby either, king’s goals revolve around kaido, his entire life is for kaido. Koby on the other hand he has his own dreams, his own goals, he has a certain passion that’s his own that characters like Law and King don’t have. Koby wanted to be the admiral so bad, even Before his transformation he was always talking about it with Luffy and helmeppo, he went through this immense training also, plus he just continued to train and protect people because it’s his dream, and he will stick with it