Cockpit tooltips should show actual control names

To use various joystick controls, we need to map the various switches to cockpit capabilities.
When I hover over a control, we get a name of the control.
However, when I go into the controls menu, i can’t search by the exact name. This makes it extremly frustrating as it becomes a trial and error, switching back and forth.

I appreciate the name differences, but perhaps there’s a secondary tooltip, below the friendly name for what we should find in the controls menu to map that exact function.

Looking for the same thing. Some of the cockpit buttons I cannot find in the control-mapping menu (either they are not there or I simply don’t know how they are named).