Post-operative outcomes and survival rates in the US are far better than in the UK and many European countries. Statistics about better birth outcomes or higher longevity is best attributed to healthier lifestyles in Europe/UK and to lower stress (shorter work weeks, etc).
While healthcare in the US can be very expensive, we paid 8k GBP for our NHS immigration surcharge and an additional 5k GBP in NHS-specific taxes (for 2 people, 1 year). A 1k/m health plan in the US (for two of us at the time) gave us 10x better health care.
Yet Americans and Brits alike sing the praises of the NHS vs US healthcare. I chalk it up to shoddy journalism and folklore.