Lots of theories that the Ukraine plane was shot down, pictures before showing holes in the fuselage etc.
Even with this - Qatar Airways (Who have no choice), Norwegian & Emirates seem quite happy flying over Iraq & Iran
I remember lookind down at Baghdad, Basra and Kuwait and the lights of the linking motorway about 8 years back on a Qatar night flight.
Biggest shock was 4 years back on Air India home from Delhi when the lights of Kabul came into view below and on the flight screen. Checked afterwards and apparently they are confident the Taliban do not have Ground to Air missiles capable of reaching that altitude. Don't think BA takes that route.