The persistent, bothersome and often creepy mind/body dichotomy. Probably been around since Plato and Aristotle.
Although I will make an observation;
Physical health is pretty much universally recognized. You can measure a fever, you can identify high blood sugar and understand why it is there. You can set a broken bone. You can at least make a brave and occasionally successful assault on cancer. And you can make a fair assumption that if you don’t smoke, abuse alcohol, get some exercise and fasten your seat belt, you will probably live a healthier existence than if you don’t.
On the other hand, mental health evaluation sometimes is as much a social issue as it is a organic. Example: Once, there was a debate about whether or not gay people were mentally compromised.
It is also interesting to note that science and technology appear to have made more inroads into compensating for physical problems than they have for mental problems. Stephen Hawking is a mind without a body that is making a contribution. Hank Johnson is body with no mind and is getting nowhere.
So, it seems that physical health is a generally a point of greater focus, research and progress. People generally may imagine it is more important. I can tell you that the VA thinks is more important.
Still, it is a false dichotomy.