Here, here. I'm from Australia where medical care is also free. This idea of dying quickly as to not burden your family with medical expenses is ridiculous, given the success that single-payer health care has had in many countries all over the world.
I understand that some conditions cause insufferable pain with very slim chances of surviving, but there are many success stories from people who have battled through. Its often these same people who provide the courage to others to battle on and raise money to support the families of those who have had similar experiences. We shouldn't be thinking about optimising our lives for our own happiness, but for the generations yet to come.
I will always fight for my life to the bitter end. There is no way I would leave my children to come to grips with why their father gave up without a long, hard fight.