I think a lot of what has been written here re overflying anywhere can be discoiunted.
As I write, Planefinder shows 10 of Qatar's aircraft overhead Saudi Arabia, 9 overhead UAE, 8 overhead Iraq etc.
1 of those over Saudi is headed for Luxor, Egypt. Others will be routing across Egypt en route to Spain. Those overflying Iraq are mainly bound for Europe, and appear to be routing via Syria.
So, to sum up; nothing is happening with Qatari flights.