They care for the poor and homeless and orphaned and widowed. God's people do not view death as an alternative to suffering. Death is our enemy, not our friend. Death is anti-life. They understand death in terms of God's justice.
Death is the just wages of our sin.
Euthanasia is what is done to animals when they are no longer useful. With human beings, it is a politically acceptable word for murder. That is materialistic atheism, and if you want to see the goal of that, study Nazi Germany and communist Russia or China. The results speak for themselves. God's people speak of the sanctity, the holiness of human life.