GB was afraid of Kaido, that's why he didn't dare to come to Wano when Kaido was around.
Kaido's rule kept invaders away from Wano, because they feared him.
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no, it's so clear that he didn't invade Wano because he feared Kaido, he doesn't care about the regime, because Wano isn't under world government control. I'm surprised that you misinterpreted that to satisfy your admirals agenda.
he came to capture Luffy at that moment because he knows that Luffy is tired from the battle against Kaido.