The Hippocratic Oath states that a doctor should treat patients like they are family. A doctor must do what is necessary to keep a patient alive. In doing so, the doctor mustn't prescribe any lethal drugs to "put them out of their misery." If a family member was sick, in pain and death was inevitable, of course, a loved one wouldn't want to see them suffering. To both parties it's torturous. Another problem is that abortion is not a choice. If a woman gets pregnant and if she's certain she does not want the baby, after labor she could throw the baby in the garbage. Again, it's unfair to both parties. The mother will have to live her life knowing she killed her child, the baby will not have known why its existence was not wanted thus being terminated. .
These doctors are put in difficult positions. Their goal is to benefit the sick to best of their ability and judgment. If the best thing for a person to do in order to not suffer is to be "put to rest" they cannot prescribe death (lethal drugs) because that would go against the oath. Doctors are expected to play God. However, God can both give and take life away, but doctors (according to the Hippocratic Oath) can only preserve life. The main focus of a doctor is to "Do No Harm." First and foremost a doctor cannot have any intentions of doing something that would destruct life. The Oath suggests that life should be prolonged. If the quality of that life is not worth prolonging, how good is it to save? Doctors are concerned with the quantity of years to preserve, rather than the quality of those years being lived. If all doctors were to follow this Oath completely, there would be a lot of people suffering and probably lying in a hospital bed on life support for many years racking up the bill in order to keep them like vegetables. Don't forget the loved ones point of view, watching from afar hoping that our relative wakes up someday.