It is simply a convention (also in other environments such as ZF) to add the suffix "Action" to the name of these methods in controllers that are directly displayed through routes to make such actions more distinguishable from other methods.
Technically, the "Action" does not matter at all, i.e. the method does not behave differently because this suffix exists. You can also define a mode of action like this:
public function index()
{
}
Symfony , .