I am not sure about that. Widespread ill-health that is managed not cured is funded by raising the rates. They got plenty of actuaries to take a "neutral position" with whatever bad shit is a public health disaster.
I think there is a only a few band of middlebrow jobs in the US where employers are cost sensitive. I think most shit jobs won't give you good benefits either way (by various legal mechanism), and most good jobs will buy at at any most price or there will be elite rebellion.
Thus, I conclude demand is is mostly (piecewise) inelastic enough that the increased profitability you speak of is thrown into serious doubt.