Voters without health insurance are just as opposed to government health insurance as those who are insured

If government health insurance is being passed to help the uninsured, shouldn't someone ask why the uninsured oppose it? From the new Rasmussen Reports poll:

Only 27% of voters nationwide favor a single-payer health care system where the federal government provides coverage for everyone. That’s down five points from August.
The latest Rasmussen Reports national telephone survey finds that 62% are opposed to a single-payer system and another 12% are undecided.
Most Democrats (54%) favor this type of system, though 37% are opposed. Most Republicans (87%) and voters not affiliated with either party (64%) are opposed to the idea.
There is little difference in opinion between those voters who currently have health insurance and those who do not. . . .

Another result shows:

The latest Rasmussen Reports national telephone survey finds that 41% of voters nationwide favor the health care reform plan proposed by President Obama and congressional Democrats. Fifty-three percent (53%) are opposed to it. Those figures include 22% who Strongly Favor the plan and 40% who are Strongly Opposed. . . .