I think this is a political and economic problem rather than a technological one.
I cannot think of a more important skill than surgery to continue training humans to do and to be wary of AI robotics replacing. Sure, some surgeries could likely be automated, but the entire point of specialist surgeons is to make choices and act in a timely manner in ambiguous situations with extremely high stakes.
What happens when the robot messes up? What happens when the internet is down, or the hospital is operating under abnormal circumstances? How do you teach, train, and collaborate with human medical workers and caregivers in a world where surgeons have been replaced by robots?
Most of the excess costs for healthcare and surgery aren't the humans doing the work. I think there's a lot of other areas we can optimize first, chief among those in healthcare being the cost structure around private businesses and insurers bloating the bill with administrative costs. There's a reason every other developed nation has a single-payer healthcare system and better outcomes, and I don't think an AI breakthrough is the only plausible solution to improving costs in the US. In fact, under the current system, an AI breakthrough in medicine would likely hurt the workforce more than it would improve costs.