"[Pinochet] was fighting for democracy?" - Yes, for there's nothing more antidemocratic than communism.
There may not be anything more antidemocratic than communism, but there are plenty of forms of government that are equally anti-democratic.
I think General Pinochet's absolute military dictatorship where freedom of speech, the press and assembly were banned, where elections did not take place, and where political opposition was punishable by death qualifies.
If that's democratic then the word democracy has no meaning.