I am still baffled by the identity of Abraham van der Hulst's ship from May to August 1652

The consensus, at least right now, is that from the beginning of the First Anglo-Dutch War, and probably before that, Abraham van der Hulst must have commanded a convoyer funded in 1648, at the peace treaty with Spain. There were nominally 40 convoyers, but the number actually in service varied. The identity of which ships were funded under that vehicle also seems to have changed over time. From a variety of sources, including Hendrick de Raedt's pamphlet about the Dutch fleet that sailed to the Shetlands in July and August indicates that Abraham van der Hulst's ship carried 26 guns and had a crew of 100 men. Those are at least the nominal figures. His ship was not one of those hired in 1652, but was built as a warship. Ships like the klein Zutphen are possible candidates, but it is unclear as to what the comprehensive list is. I am usually uncertain about a number of ships, because they were "hired" in 1652, but were built as warships.