Firing your insurance company
Does Romney like to fire people? Maybe, I don't know. It's not really what he said.
What he said was worse. (Krugman and Aaron Carroll agree with me - or I with them - but I'm not linking because I don't want to exhaust your reads, and because I thought of it before I read them, and because it's really pretty obvious if you give it a moment's thought.)
What he said was that the health care system in this country ought to work to allow you to shop around for the best insurance company, "firing" yours and "hiring" a better. Only, who can do that?
Most people don't really have the money to get just any health insurance they want. Most people's insurance depends on who their employer offers them. And even those with full, free choice don't usually know that they have a "bad employee" until they get sick. At which point it is far too late to go shopping around for another one. Pre-existing conditions and all that. In fact, the best thing about his Massachusetts plan was that it made it hard for you to get dropped by your company.
Moreover, he really seems to think (he can't really. Can he?) that insurance companies are in it to spend money on their customers, instead of to make money for their stockholders. Insurance companies love it when sick people leave.
Romney has no clue about how health insurance works for the vast majority of Americans