That's not the point. It is up to you to decide whether you want to pay and if you have a balloon loan or ARM you may not be able to pay. It is a personal decision and the fact that the mortgage may be twice the current value of the home in the example I provided, will influence any decision one might make. That's the point.
However, if you decide to stop making payments (for whatever reason), then yes, you'll end up in foreclosure.
Duh. What a silly statement. How else can the home go into forecloure?