I'll absolutely disagree with you - in a traumatic injury, I think one of the best places to be is a public hospital like Fernandez. The top doctors graduating from medical school do their residency in public hospitals because of the exposure they get. And on a personal note, a friend of mine suffered extensive trauma after falling several stories and was treated in Fernandez - they saved her life. I don't think Swiss Medical would have been able to give her the immediate trauma care that she needed. (For long-term or rehabilitative stays, I wouldn't want to be in a public hospital however).
As I noted, if someone wants to have private health insurance, there are several options available and at what will probably be lower cost than traveler's insurance. I have private health insurance as for me, the routine checkups, etc are best handled with a private health company - no waiting, less headache.
If you want traveler's insurance for other reasons (in case you are robbed, etc), that is a different story but I would certainly not have it if your main reason is medical care.