They'll only treat you until you're stabilized, though. They won't give you chemo or routine care. If you need to be admitted you're also not covered by the EMTALA.
All emergency medicine, not just that triggered by the EMTALA, is 5-6% of all healthcare spending in the US, so while it contributes, it's not collapsing the healthcare system.
The real problems with it are that it's an unfunded mandate by Congress, just adding to the financial tangling of the healthcare system, and that it's way too often used to treat things that could have been much more cheaply treated in a clinic, but then there are no clinics nearby that take Medicaid and are actually open, so instead, like with so much of our health care system, we choose to solve it the stupid way instead.