The biggest healthcare issue is lack of follow up and preventive care. For many type of cancers you can be determined if you are a risk or not, by genetic screening, auditing your life style, environmental conditions... So for many of these conditions if we had a strong healthcare infrastructure the focus will be far heavier on detecting and preventing then on curing or holding off.
The proble with this method it means we will need an infrastructure so it will require corporations and governments and the population to work together. And across the world this is very difficult.