The problem doesn't seem to be sorting itself out. On the contrary, it's making access to people like him even harder for all but the top 1%.
If doctor salaries were to go even higher, it would mean that people like my maid would never ever get even half-decent medical care.
The solution would be to pay the maid more, but there's an oversupply of unskilled labor and any attempt to increase their wages would be thwarted by a flood of new labor supply.