I think it makes sense for the banks to wait for the Fed to do something. Banks are acting in the interest of their shareholders; the Fed for the population as a whole.
The fed is doing the same thing by stepping in and manipulating the overnight rate. Without the fed doing this, banks would have to plan ahead and make sure they have sufficient liquidity. This means maybe offering better interest rates to earn customer deposits.
With the major banks still calling 0.05% “high yield”, I don’t think it’s appropriate for the fed to continue to enable their incompetence. Furthermore, the banks hold a significant inventory of foreclosed homes on their books. They’ve been sitting on them for years. It’s time they sell that resource to people who need them.