By the way I'm surprised Kuzan is in the island. During Garp's intro attack on the island, he wasn't the focused one, so I thought he might have been with the Egghead group, but I guess Oda simply didn't want to miss this opportunity with the number of marines/sword involved in Egghead including Garp
That increases the possibility though that it's actually Blackbeard himself who is nearby Egghead right now. Maybe he is planning something with Law if the current chapter happened in a flashback