Allert Janszoon's ship in November 1652

In a note on page 87 of vol.III of Dr. Elias's book, Schetsen uit de Geschiedenis van ons Zeewezen, it says that Allert Janszoon's ship was the Dubbelden Arent. I had always assumed that this was the ship belonging to the Admiralty of Zeeland, although all these other lists had included him as being in the service of the Vlissingen Directors.