Generally true, with one caveat:
If you DO become unemployed, and are offered a job outside of commuting distance to your home, and cannot sell it because you're too far upside down, it is a detriment to your ability to take that opportunity. Or say the neighborhood ghettofies (very common thanks to liberalism) and you can't escape to a safer place. That's just a couple examples but there are situations where a person thinking only of a place to live could still have problems due to this.
ghettofies= Section 8. Move’m out of the city to the country.