This Pico:
When the Pico device is added via the Lutron Integrator app, Caseta Hub Pro2, device type Keypad, the resulting Hubitat device driver emits events for buttons 2 and 4 (pushed and released).
Using Button Controller (version 5.1.1) only buttons 1 and 2 are exposed when attempting to configure button actions. So no actions are triggered, given there are no button 1 and 2 events.
Am I missing something or have incorrectly configured the app/device/controller?
Your driver is set to keypad, change it to pico. The integration is under Lutron integrator app and what ever you called it. It should start with p. So the one I showed you looks like p,7,pico stairs