Perhaps this is true of some Platonic ideal of libertarianism/statism, but in the real world people who would usually be classified more on the statist side of the spectrum tend to also want the state to hurt people less in various ways. For instance, progressives in the United States tend to be in favor of ending the drug war, or at the very least legalizing marijuana, on the grounds that the current regime hurts people unnecessarily. They're also usually in favor of legalizing gay marriage, reforming prisons, removing subsidies on certain industries, police reform, cutting defense spending, less foreign military intervention. All of these positions could reasonably be described as the government hurting people less.

I guess you could say that American progressives have a mix of libertarian and statist views, and the "hurt people less" positions I've mentioned above constitute the libertarian side of things. But I think the fact remains that if you asked pretty much any politically engaged American (and I'm presuming this remains true in most other countries) whether they would like the government to hurt people less, they would answer "Yes".