Im not sure if he has been able to pull the bar of the saw out some, but if thats how he was cutting, with the tip of the bar, yes it could have been a hell of a lot worse.
All those stubby bits of branch left sticking out is also a bad idea.
90 deg to the wedge cut, should have been cutting in parallel towards it. Once the tree was weak enough to fall back and pinch the bar youve got half a shot at pulling it back over the other way and break off whats not cut.