This is simply untrue, Communism requires state planning and ownership of all private property. It may be that China is not truly communist, but that is what Communism is/was.
All political systems are moving toward a mix, it is simply the way of survival. Pure Communism has ceased to exist as has pure capitalism. All governments now operate with a mix, and the only argument is what that mix is. There is no black and white or pure bad and pure good when it comes to political system ideology.
And state ownership of an airline does not necessarily mean there is state planning and ownership of all private property. So a government airline does not mean it is communism as you claimed. Also, the "no private property" is simply an abstract concept that does not exist in reality.
Some socialist systems do not have central planning.