A really ripe topic for discussion...
I nugget I got from the '70's was, it's best to be mortgaged up to the hilt on your house (which, back then meant ~ 90%, little did we know...), or free and clear. Consider the scenario:
Two borrowers are in default on their mortgages on their (previously 200k) houses. Borrower 1 has industriously paid his mortgage down to $50k, and Borrower 2 has still got $150k on his mortgage. A financial period ensues in which real-estate prices tumble, both are out of work, and both borrowers are out of work, with little prospect of repaying. Which borrower loses his house first?
The industrious one who has generated the most equity. The cost to foreclose, evict and dispossess is the same in either case, but the thrifty borrower has made his house much more attractive to the bank. The bank can make money on that action. If they go to the expense of foreclosing on the guy who still owes 180k, then they have to take a hit on the difference between what he owes and what the bank can dump the house for.
Now being of the Dave Ramsey school, I'd still rather pay off ASAFP, betting that the financial apocolypse will arrave AFTER the mortgage is retired.
All that being said, if we're going to absolutely debase the currency to the point that debtors win and lenders get screwed, guess who the biggest debtor is? (Hint: It's the same one who has the greatest influence on the value of the currency.)
In the spirit of full disclosure, I have (obviously incorrectly) thought this time was at hand on severl occasions. One day, tho', the wolf WILL come, and nobody will believe the little boy.