Imagine entropy follows an asintotic function in the state of the universe "before" inflation. You could go back in time infinitely and find an infinitesimal but non zero entropy, while finding finite entropy at the present. Something like S=f(t)=1/((t^2)+1). The same for the volume ocupied by the observable universe at present time.
Why only for terminal patients? As I understand, the article is about asisted suicide for everyone who asks for it. I can be a healthy, without mental disorders or depresion individual, and decide to end my life. Why cant I go to the doctor and ask for the pills, instead of the messy options?