The trouble is that the banks are lending these private lenders the money, so any large issues are gonna hit the banks hard, with consequent impacts on the money.

While some regulations post the GFC were necessary, it seems like a bunch of the rules just pushed this risk (bad loans) onto the balance sheets of non-banks. Not sure if it was worth it, especially given the large hit to worldwide productivity.

When the central bank talks about systemic risk, too big to fail, etc - depositors are the least of its worries, if it worries about them at all (FDIC has that covered)

The lenders aren't the only one needing protection. Society does as well. We don't need another 2007.