Your question is multifaceted, then it depends which dimension you focus on to answer it.
A possible reflection track would be to consider the provider as an organization whose internal and external diagnostics will enable to assess the organization's response to health insurance. In this instance, your investigation will be management-oriented. You may also want to consider providers as agents in a general economic model
In India a state government scheme to provide free (cash-less) services to below poverty line expectant mothers in hard to reach districts was developed using voucher scheme. The supply gap in terms of doctors and providers was huge and as a result a significant effort was put in to invite private providers come in those places. Similarly while designing the hospitalization insurance for the country (RSBY) for people below poverty thresholds experiences significant supply shortage. Somewhere the assessment is not done and it is assume the provision of financing will create supply of providers, which at times does not hold where supply-demand gaps are huge. So this is an important areas to focus on help government policy makers in developing countries. You may refer the following paper echoing the same issue. Best