Basically you Lose $1,200 that you could have spent on healthcare. That $1,200 is a lot when you consider that many of the people with out healthcare end up at the Emergency Room for simple things like Strep Throat and end up paying $500 instead of $80 for a doctor's visit.
The best analogy I can think is like the Poor who opt to be unbanked. Many of the unbanked do so because the fees in banking are greater than what the fees are at the Check cashing places because a single overdraft charge.
Obama care is really just bankruptcy insurance, and that is kind of what bankruptcy is a way to not lose everything if you can't afford it.