And see? You’re admitting that you’ve confused the issue.
Americans get treatment just the same way, you would get it yourself if you had no money. And you qualify for more, not less assistance than an illegal would. There are income streams available to Americans that they can’t use, hence why Medical repatriation is a thing.
Your actual objection is to a cost sharing mechanism that disproportionately puts the load on other patients, when it should be everyone pitching in. Because it’s everyone, through public authority, requiring hospitals to do this.