I cannot speak for the competency of law enforcement in all places, but from my experience the severity of injuries is irrelevant to the investigation. There is no deep rooted desire to side with the party that is most injured. In fact injure them badly enough, and the police must accept you story granted that the physical evidence does not contradict your testimony. Dead men tell no tales.
Absolutely you can win a argument skid marks, right of way, and account consistency determine almost ninety percent of auto mobile accidents. In other words if you were going down the road at a speed limit of 100kmh, and a bike at a mandatory stop just jumps out in front of you doing 20kmh, and you rear end the bastard you have ample evidence for your case. Your going to have your skid marks which will tell the authorities your speed, and they are going to tell them where you braked. Then your going to have the distance you pitched him. Which is the culmination of both his speed and your speed. Then your also going to have the benefit of your story being far more rational.
The reality about forensic evidence is it really can't be twisted. Physics and math do not lie. They are undeniable. So as long as the evidence is with you. You should win your case handily.







