An event is just a class property. If you don't assign it, the class won't call it. And the
Object Inspector is, roughly speaking, a simple way to assign a properties to classes (components in form). You can do it yourself in code (in run-time):
Button1.OnClick := @Button1Click;
For clarity, the method name doesn't matter. It can be called anything, and it doesn't mention either the component name or the event name - it's just a name created by the IDE by default.
This also means that you can assign the same method to different events (if the number and type of arguments match).