If you have used debt to buy a deprecating asset (car or almost anything you can buy with credit card, like iphone) you are not saving. In a long run, your asset will cost 0, and you haven't saved a penny.
Let's say that instead of paying down $100 dollars a month on the principal of the loan they'd only paid the interest and stuck the $100 in a savings account. Would you consider that savings? Would you consider it better to have $0 in debt and $0 in your savings account than being $1000 dollars in debt and having $1000 in your savings account.
Even in this case, your house value can take a sudden plunge. Savings are savings, they are not going anywhere. It's money that sits in your bank account and you always know how many years without work you can afford.