Yes, show it on TV. It's good when it becomes clear that it is nothing freaky.
Assisted suicides in case of severe illnesses and suffering happen. If it is illegal, it will happen in secret. And it is family and a GP to carry the burden in secret.
If it is legal, there is the burden of loss, there is the burden of helping someone die, but not a burden of illegality and secrecy on top of that.
Good thing of having it happen more in the open is that it is easier to make sure that the dying wish is of the patient, and not pressure from family.
Alzheimers and illnesses like that will always be a problem when it comes to euthanasia. There comes a point where you can't make sure it is the wish of the person to die with Alzheimers.