If hospitals are so concerned about cutting costs, getting sued is probably worse. However they are all insured against malpractice. I would be careful about insurers who could default if they find too many malpractice claims.
Of course, given that these are legal cases, it would take years for any consequences to be turned into actions.
That hasn't stopped them any other time they cut costs. Have you ever spoken to a nurse who works in a hospital?
The harm of getting surgery to get tissue removed due to a false positive seems a pretty big.