I think not we lose support in the Nobility if we says that all should have free medical aid. But you are right that we may loose support if we are for hightaxes, but then not only in the nobility, but among everyone that has much money.
I'm personally are for high taxes, although not so high as RD, ESRP want, but higher then CC, and I'm both Baron and rich.
However for me the meaning with high taxes are not only to improve the welfare, its also good when you want to control the economy and give money to the armed forces, and other state things that costs money which not are welfare things.
Here are my suggestion for the healthcare,
Concerning the Healthcare
The healthcare should be public and free. A maximum distance between the hospitals will be 100 km, so that it will be avaliable for everyone.
Concerning the healthcare.
The healthcare should be public and free. Private hospitals should be allowed but not supported by the state. The Public hospitals should be enough large so every person in need of care should be given the care he/she need. A maximum distance between hospitals should be 100 km, so that it will be available for everyone.