Device shutdown: harm from charged capacitors?
If the power supply can be shorted at any time, or have a heavy load on it (especially more than tens of mA) you should use an external series resistor on the inputs to limit the current.

If you don't want to protect against a screwdriver across the supply, you can assume a maximum dv/dt at the rails (perhaps from the load and bypass caps) and ensure the current is limited by the cap value.