Comment by hnick

I think what you mean is what I wasn't sure about (but found with a quick search), some banks do offer home loan and insurance bundles here in AU. I found one that offered a discount on the insurance if you get the loan with them, for the life of the loan.

But legally, you are allowed to change insurers at any time. They would probably not be allowed to include that as a contract-breaker clause in the loan itself due to free-market-reasons, or force you to take only their insurance to have the loan (we tend to have a few laws about keeping conflicts of interest like this at arms length but I'm not sure about this case). But if insurance is legally required, I suppose they can ask for proof periodically after you leave to terminate the loan.