Hi,
The decision to release your super does not come from your super fund, the Department of Human Services are the ones who assess your application and will instruct your super fund to release the funds (by way of an approval letter to you, that you then lodge with your super fund along with your super funds early release of super form).
You can read more here
https://www.humanservices.gov.au/customer/services/centrelink/early-release-superannuation
Under the compassionate grounds, medical section.