The minivan has the space but only if you plan ahead and allocate the space to hauling. I've underplanned trips in my minivan for large/bulky items (e.g. beverage fridge, ikea bookshelf) several times and had to do impromptu adjustments of the seats/positions to get items in. It doesn't help that I have a bunch of kids car seats to deal with when converting to "hauling mode".

Much less futzing w/ the truck I'm sure.