I got the impression that the anti-euthanasia guy is mostly repeating one argument -- that you can always remove pain, therefore the argument of killing people to prevent them from feeling unnecessary pain is always false.
My opinion is that this argument sounds nice and kinda convincing, but is completely unrelated to reality in healthcare. From what I have seen, hospitals for terminally ill patients are more or less torture chambers. There are countries where people are not even allowed to take marijuana to alleviate their pains, even when it is fucking obvious they only have a few days of live remaining. Yeah, there are legal pills that remove the pain for maybe 1 hour, and they are allowed to take one pill every two days, or something like that.
I would respect the opinions of the religious people more, if at the same time they would fight with the same strength for legalization of medical marijuana. Otherwise... fuck them, they are just making other people suffer, so they can feel better about their own righteousness. (Also, some of them are sick people who believe that suffering brings you closer to Jesus, but I hope those are only a small minority.)
There is a large body of work in religious traditions that sees suffering as good.
Here is the soon to be Saint Theresa
From wikiquotes
"One day I met a lady who was dying of cancer in a most terrible condition. And I told her, I say, "You know, this terrible pain is only the kiss of Jesus — a sign that you have come so close to Jesus on the cross that he can kiss you." And she joined her hands together and said, "Mother Teresa, please tell Jesus to stop kissing me".
Over at Scott Adams' Blog you can find a very fine example of using the 'Rationality Engine' to solve the social problem of assisted dying.