[Compund eyes ability and other abilities of the same use]

Thank you very much. It does answer my question, I just was wondering how do I get through "Get HM-02 Fly Demonstration" since it explains in walkthrough that compound eyes does work... and it makes easier to get the "nocturnal feather", but I have been fighting pidgeottos for 1 week already and nothing. So, new question ¿Is the quest mentioned above updated?... If not why not update it? So the new players as me don't lose their time? 
 

[Compund eyes ability and other abilities of the same use]

How does it work exactly? inside battle and outside battle? (also synchronize, arena trap)