Is it poor form for a C# class to subscribe to its own published events?

I'm probably just being neurotic, but I regularly find myself in situations in which I have class that publishes an event, and I find it convenient to subscribe to this event from within the class itself (e.g. in the constructor), rather than only subscribing from external classes.

This sounds reasonable to me, but I can't help the nagging feeling that it's a poor practice, for the simple reason that I'm always faced with the question: "Why not perform the actions that you'd provide in the event handler in the code which fires the event?"

public class Button
{
   public Button()
   {
      this.Click += someHandler; // bad practice?
   }

   public event EventHandler Click;

   public void HandleInput()
   {
      if (someInputCondition)
      {
         // Perform necessary actions here rather than 
         // subscribing in the constructor?
         this.Click(this, ...);
      }
   }
}

Are there any drawbacks to subscribing to your own events?