Are engines likely to flame out in the "thin air"?
The engines are affected by the inlet separation in an aircraft stall. Too much and the engines themselves will stall/surge (but not flameout)
In the freighter DC8 crash in West Virginia, doing en-route stall testing, the crew used the sounds of engine stall/surge as a marker of the planes attitude at the time (the details are not important to this thread so I don't wish to divert the discussion)
also many reports of engines on fire, from witnesses, just before a planes smack into the ground are the results of inlet separation from wing stalls. MD80 etc.