I knew you would say this very thing, maybe you should read the report more clearly. Now what exactly happend, here are some details for you, taken from another forum
http://www.f-16.net/forum/viewtopic.php?f=2&t=755&start=15
What I have heard and seen from different sources indicates 4 Turkish F-4Es from 112. Seytan filo based in Eskisehir was on CAP training mission over Aegean. As usual, 2 Greek Mirage-2000s took off from their forward base, turned towards F-4Es. At the same time, Turkish 2 F-16s (one C, one D) were on a training mission near F-4Es too and "were not armed" that time.
Turkish ground controller directed 2 F-16s towards Greek Mirage-2000s to intercept them before Mirage-2000s reach F-4Es. As usual, 2 side merged and dogfight started, little later it turn to 1 on 1 engagement.
F-16D piloted by Captain Nail Erdogan engaged with Lt Grivas. Back seater in Turkish F-16D was Lt Col Cemil Cicekli just returned from 2 years of military attache duty in UK and was in refresher trainig with squadron IP Captain Erdogan.
After trying to gain advantage on each other, in a head on pass, Grivas fired a Magic II and shot F-16D. it caused an explosion, put F-16D in fire ball. Force of the explosion forced Col. Cicekli out of cockpit without pulling ejection handle, Captain Erdogan did not have time to eject and was probably killed instantly.
The F-16D crashed 10 miles off Chios and Col Cicekli rescued by Greek SAR helo. Col Cicekli was in a shock after the incident and did not talk to Greeks too much. Strangely, Greeks thought he can not be Turkish since he speaks good English, someone (HAF officers) in Greece claimed he could be a IDF pilot in squadron exchange program.
This whole incident went to AFM and discussed several times in the past. After Cicekli returned to Turkey, he said that Grivas visited him in the hospital and apologized for his mistake which is "forgetting Arm Switch is ON". Rest is history...
Some Greeks argued that Grivas got orders from GCI and fired that missile but it is unlikely considering that that kind of order in peace time, and against a NATO ally. Also, there were rumors that Grivas thought he is under attack since F-16D locked its radar, then in self defense he fired a magic. This could not be true either. A NATO pilot should know a radar lock does not mean you are fired at (considering that there was no war but simulated dogfight). In addition F-16D was not armed considering it was a usual trainig flight.
After this incident Turkish side did not go to Aegean without weapons. In thousands of engagements in Aegean, each side locked radars on other side. It is not a scary thing to fire a missile to save yourself?
Only, good explanation to this whole incident is really Grivas forgot his Arm switch was on and fired it by mistake (I don?t also ignore the possibility that during the engagement, he could have lost his temper little bit, and went too far).
I should also add this, sometimes ROE mentioned by Greeks or some other people, claimed that F-16D was violating Greek air space and Grivas have had right to fire. But they forget that air space violations are two sided, sometimes HAF also violates Turkish national air space. It happened in the past, and it can happen in the future too. IF ROE is applied, every single interception can turn bloody and each side can fire...but fortunatley this did not happened in the past, will not happen in the future too. Usual encounters in Aegean are just to show off pilot skills to other side and go home...
Seems each time the French say "proven" their proven is very questionable, And since you did talk about the Mirage 2000 downing an F-16, this is how it happened. Apparently Mirage 2000 accidentally shot down F-16 Twin seat (mostly trainer) because the Safety switch was on by mistake. It is not strange that the french try to take credit for "proving" their planes in places like Libya or Mali where there are no capable air defence.