Sever financial distress does lower health care utilization -but does it indiscriminately. Patients say "no" to valuable evidence-based care as well as discretionary and even unnecessary care. Countries which have had prolonged financial crises (think Russia after the collapse of USSR) have also seen a real loss in population health (including decreased life expectancy) - probably caused by a combination of impoverishment and lack of access to health care.
The financial maelstrom will likely lower the overall cost of health care - but this is likely a destructive way to accomplish that goal.