What ship did Pieter Aldertsz command in the first part of 1652?

I have some trouble believing that Pieter Aldertsz commanded the Hoorn (32 guns) prior to August 1652. I have the list from 30 June 1652 and the list of ships from Hendrick de Raedt's pamphlet from the voyage to the Shetlands that clearly show that he commanded a ship armed with 24 guns, as if this was one of the smaller, 116ft ships, such as the smaller Enkhuizen. He definitely commanded the larger Hoorn, a 120ft ship, from late 1652 to when he was killed at the Three Days Battle. His brother Claes Aldertsz commanded the Hoorn after that for the rest of the war, I believe.