IF someone is so on the edge that they have zero extras, then they should not get a mortgage, because they're one hiccup away from losing it all.
This is why I put in the phrase "without killing themselves."
And, if you want to save that 6K mortgage downpayment, downsize life by a little - it really is not much to do. If you're so poor you cannot do this, there are federal programs to assist.
Again, this is a non-issue for pretty much every person that is also capable of paying a mortgage.
Not if they are paying rent - there would be no surplus every month to save.