US healthcare is a leader in administration fees (e.g. paying health system executives) compared to other countries around the world. High US healthcare cost isn't because of increased usage, but because of the higher admin fees and higher prescription drug prices. Prices are fixed high because law prevents the government from negotiating prices (o.b.o. Medicare/aid), and those provisions were inserted on behalf of pharmaceutical companies so their executives could make more money.

Paying individual workers more may have some benefits, but I think the key issue is usually overworking and burnout because the incremental cost of adding a whole new employee is way higher than just pressuring workers to do more work in the same time.