The government also is willing to pay closing costs for those who agree to use their savings to pay down the principal of their mortgages, rather than reducing their monthly payments, the administration official said.
I'm not sure why a homeowner would choose to do that right now. Many of these folks will be taking on a debt larger than the value of the home. Why would they want to "pay it off faster"? Better to pay it off with inflated dollars in the future. Especially considering they can borrow this money at insanely low rates.
Yes, the usual advice is if you actually plan on paying off the loan, better to do it faster. But do most of these people really expect to do that? Furthermore, you can pay off a 30 year loan faster, just make bigger payments each month than required. You'll pay it off faster. But if you take out a 15 year, and can't keep up those payments, you're stuck. And since this may be in effect a "one time offer" at that point you may not be able to get ANY loan, much less a 30 year.