First, lack of trust doesn't imply bad actors in the system. Second, a blockchain creates a decentralized public ledger. Patients can be owners of their record

First, lack of trust doesn't imply bad actors in the system. Second, a blockchain creates a decentralized public ledger. Patients can be owners of their records, and sign to share access. There is already a working implementation of this technique in Filecoin. Third, PoW is the 'new technology', a blockchain is just a data structure. e.g., Binary trees are no good for the U.S. healthcare system. I know there are politics involved, but we are not politicians, why not try to solve the problem with the tools at hand?