What I don't know is does
DVC report the foreclosure, as a creditor they maintain that right, and can chose to do so at any point in time within the allowable reporting window. So I suspect that DVC ends up reporting the foreclosures because that part costs them no money, and really is good faith in the credit system.
I would think also since they actually do foreclosures they likely don't just offer to take the properties back through signing over the deed (unless I suppose you owe next to nothing on the property). Also the usage of the Trustee Foreclosure (which is cheaper, I thought anyways) even seems to suggest further they simply don't retake the contracts. If DVC offered to take the properties back without repercussions it could create an unstable system between the creditor and debtor where debtors could tend to default at higher rates (i.e. buy DVC for 1-2 trips then default thus getting 1-2 trips cheap).