Being a Catholic, the only thing I would disagree with the Pope on this is if a person is in such pain that they just can’t handle it any longer. Doctor’s can only do so much and it doesn’t do any good to put someone in a coma to stop the pain. Unless we have been in such pain, we can’t begin to realize how your mind will look at this subject.
It's too easy to make a mistake if someone is branded terminal but they're not. It's like sending someone to death row who is innocent. DNA evidence can sort those folks out but what about the person who's been diagnosed as terminal but they're not? They are subject to being killed for exploitation such as life insurance policies and financial gain.