While I am pretty sure I wouldn't get mad if someone asked about this stuff if I had a terminal illness, I will be blunt and come out and say that I hate even thinking about death. It scares the sh!t out of me, even just normal die of old age death. I don't even want to get old, frankly.
I come from a family of hypochondriacs and I've dealt with this by ignoring death completely. Most people on both sides of my family die at around 90. There's been few "bad" diseases, save for my mom. My dad has had prostate cancer for 25 years. He's 87 and still quite active. On the other hand, I've dealt with death of others (including my first baby) stoically and been fine. In fact, people accuse me of being "cold" about the subject.
I've had some tell me I have this attitude because of my religion.... sigh. Like if I was waiting for my eternal reward, I would welcome death.
In the end, I doubt I would want heroic measures if I was in the state of the people in the article. I know my DH has strong feelings about no intervention.
I hated that article when I read it in the magazine and I didn't like re-reading it, either. But, I read it.