The inflation in health care cost is not down to Jevons in my opinion. The likelihood of AI job displacement is low because the demand backlog is high.

Robotics will reduce back injury rates and so reduce Nurse shortages, for example. Misdiagnosis rates cause increases in compensation claims so improvement in diagnostics reduce risk so insurance premiums(for hospitals) should go down or at least not rise as quickly compared to inflation.

Note that the cost of health is high even in the economies without the broken US health system, and we have the baby boom moving through which is a huge bubble of cost associated with age.

Not that there's no component of Jevons in this, but it doesn't explain everything.

A thing said to me in Argentina resonated: They pay doctors, nurses, pharmacists slightly more if they will do out-calls to elderly people in the community at large. The increase in staff cost to have home calls offsets the massive increase in care costs if these people cannot be cared for in their home and move into a managed care facility. It's partly an externality if you privatise healthcare: who cares if the state has to pick up the tab, right? But in a more integrated view of the costs here, its better to pay more for people to help keep the elderly in their own home as long as possible.

(elderly, intending to stay in my own home, not in the US health system)