I am actually in agreement with this. If I want to die, who is to tell me I am not allowed to? It should be my choice. And honestly, if I were to earnestly want to die right now, there are countless ways I could make that happen, and there is nothing any laws could do to stop me. So in reality, we all do have the right to die, I guess the right that is being faught for is the right to do it comfortably and without the stress of having to do it yourself.
My biggest concern would be that most people who earnestly want to commit suicide are in some state of depression, and depressed people tend not to think through things clearly. The reality is, once this person endures past the hard times they are going through, they will very likely reach a point where they will look back and say, "Gee, I am glad I didn't kill myself". You'll often find this attitude among survivors of suicide attempts. Often times after the drama of a failed suicide they will wake up and realize that they can work through things. I certainly feel it is far better to try to help people through these hard times, rather than to help them kill themselves.
Suicide can also be a very selfish act. When of my neighbors when I was a kid, a forty year old mamma's boy apparently, couldn't cope with the death of his mother so he shot himself (at least that is the story the family told, likely there were other family problems), leaving a lovely mess for his wife to find and three young boys to grow up without a dad. Pretty selfish if you ask me. People who use suicide as a means of escaping their responsibilities are pretty lousy people IMHO, or if they let down people who are counting on them. I have no sympathy for such cowards. But some people genuinely have it rough and really have no quality of life to speak of, despite the fact that they are perfectly healthy.
Just to offer a little example for consideration: One older fellow I help out on occasion is in his sixties. He had a lot of problems with drugs when he was younger and really messed up his life. He treated his family awful, and now his wife and kids really don't care a whole lot for him and cringe whenever he is around, even though his drug problems are far behind him, they have a hard time getting past all the times he screwed them over in the past. He is a lonely old man whose closest friend is his dog. He often talks to me about his past, perhaps because he has a lot he needs to get off his chest, and usually after 20 minutes or so of revisiting stories from his past, he begins tearing up and makes some excuse for needing to leave the room. He is very lonely, eccentric, miserable, and constantly suffers from his past.
There are a lot of people in situations like this, who feel very miserable, and literally have no family or real friends. If they decided, after years of living this way, that they'd rather just give it up, I think they ought to have the right. Personally, I'd tell them to simply pack up and move and try to find something more interesting and new to experience in life, rather than just ending it. But if they are truly ready after long hard consideration to hit the off switch, who am I, or any one else, to tell them that it is not allowed?
