Excellent point.
It's for this reason that polls need to be carefully examined. Penn & Teller did a good job of showing how polls can be messed with. By asking the right question, the pollster was able to get a guy to say that he supports spending money on illegal immigrants, but, at the same time, is against spending money on illegal immigrants. Ask if people support estate tax then ask if people support death tax. People can be for and against a policy at the same time. You can even get different answers based on when a person is asked. People who are tired and hungry are probably a lot less satisfied with everything. You'll get really weird poll results if you ask everyone at 8am. Also, that show Cops was mostly at night. Why? People are crazier at night. The president would probably be a stripper if the votes were all cast between the hours of 2am and 4am on a saturday.
I'm completely dissatisfied with obamacare in its current form because I'm a young woman with no kids. I had one of those high-deductible catastrophic policies that Obama deemed unacceptable. Now I have no coverage at all. If I get sick, I'll just take on piles of debt then file for bankruptcy.
I think Obamacare will improve over time, but right now it's a train wreck. Insurers don't know what to charge because they're not sure who will sign up, doctors don't know if their patients have insurance or not. Even the patients themselves don't seem to know if they have insurance or not. For whatever reason, a lot of people assume Obamacare is free. They sign up for a plan but they don't pay for it, so they think they're covered when they're not.
Ironically, a lot of the blame for the confusion goes to the republicans. Democrats talk about free shit like it's a good thing, and republicans talk about free shit like it's a bad thing. It's not free. This is where the confusion comes from. Stop telling people that it's free. It's only free after you've paid your premiums and the high deductible.