I'm almost certain it didn't. The white part of the path is interpolated while the green part is actually recorded. Perhaps on this day the Egyptian recorder was not active.
It is reciprocal with El Al. The path from TLV to BKK avoids Saudi Arabia.
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That's not relevant. The flight in question was from UAE to Barcelona. It was heading in a perfect arc until about 40 mins before Israel. The path then dropped south and crossed just south of the Israelie border. It then tracked north and joined the original track. The 2nd officer was Arabic. I wonder if the times the path does not change are when all western flight crew are flying.
The UAE blames Mossad for the assassination in 2010 of Mahmoud Al-Mabhouh of Hamas. EK would certainly not have an Israeli diversion flight planned into the FMS and neither would its policy be to overfly what, in effect, is an enemy country. Emirates is a fine airline with good flight crews and that's far more important that a fluffy pillow, which, incidentally, is what was used to kill the Hamas chappie.
Auf Wiedersehen.