Some Health Funds have special rates for Participating or Members’ Choice providers. However this does not appear to be the case within Psychology. All providers are treated the same. The rebate structure of your Health Fund will be the same across all Psychology providers.
As Funds change their policies from time to time, you could also check this with your Health Fund.
Private health cover varies depending upon the type and level of cover with a given Fund. Please check with your Health Fund.