The rest I agree with but the highlighted bit: It was Thai, Lufthansa, Singapore Airlines and many others that flew over Ukraine just before Malaysia Airlines got shot down.
Additionally, Qatar flights from Doha to US were flying over Russia just months back, during Russian invasion of Ukraine, but have since rerouted to fly over Saudi Arabia and Israel, following warming of relations in the Middle East.
So while I agree with the rest, the above bit is factually wrong.