Yup. This is why I feel very little guilt over our Sienna, even with only 2 kids. Add renting a van a few times over a decade for camping or larger groups or whatever, and you kill all your savings.
Does the cost of ownership include insurance? I assume it does.
When we replace the van (hopefully not for another decade, and it is already 10 years old) we will either replace with another 10 year old Toyota or Honda van, or we will can something vastly cheaper like an Accord or Camry. Al the in between type vehicles (Subaru, Mazda5, etc) cost more than a basic sedan, offer only marginally more space, and have considerably worse fuel economy. So you might as well just get the van.