That's no reason to not have universal healthcare.
Sure, some people think as you describe, but they are the minority. We're supposed to be a representative democracy.
- 90% of Democrats want universal healthcare. (30% of voters)
- 70% of Independents want universal healthcare. (40% of voters)
- Even 40% of Republicans want universal healthcare. (30% of voters)
(many polls, pick your favorite)
bOtH pArTiEs think otherwise, unfortunately