This is flat out wrong. No one is paying $71,000 a year in medical malpractice. An average OB/GYN is at $5k / year in insurance costs [1].
A really good source for medical malpractice claims data is the National Practitioner Data Bank which posts data on all paid medical malpractice claims since 1991 [2].
A summary of the data for the U.S. as well as for each individual state is here [3]. All of this is to say, the number of paid malpractice claims has been dropping since 2001, and the total amount paid on these claims has also dropped by 23% since 2003.
What is the real issue here? Defensive Medicine.
Doctors are terrified of being sued so they order batteries of unnecessary tests on patients and make unnecessary referrals in order to avoid lawsuits. These unnecessary tests drive up healthcare costs, not the direct cost of medical malpractice.
This is a problem with the healthcare system and how patients can initiate lawsuits. I don't think it is entirely fair to blame the physician in this instance for covering their bases. Any doctor who has been sued for medical malpractice will tell you that it was a humiliating and degrading experience even if they won their case.
[1] https://truecostofhealthcare.org/malpractice/
[2] https://www.npdb.hrsa.gov/analysistool/
[3] https://truecostofhealthcare.org/malpractice_statistics/