Also, I get the impression that "emergency care" omits emergency-related care. If you receive "emergency care" its not unreasonable to assume you may well need follow up - and that follow up could easily end up costing a lot more than the original incidents "emergency care". But that later care is often closely tied to the initial incident. Moving patients around and/or switching doctors often isn't easy nor necessarily safe.

In short: Non-emergency care doesn't necessarily mean care where you can flexibly and easily choose your care provider.