My bag does have trauma supplies such as tourniquets, compressed gauze and triangular bandages. They do not take up much room and are primarily focused on self aid, not dealing with a large number of casualties.
Your post made me think that I should improve my "in flight" kit, which right now is pretty minimal. I didn't think I could carry all that much useful stuff on me especially given TSA restrictions. So I was expecting to die in most situations of air disaster. I'm curious as to what you carry on the plane. This question is open to everyone.