I didn't say the ancients practiced CBT/RET. As this is a philosophy forum please limit your use of rhetoric
I wasn't paraphrasing a text, my summary came from memory.
Actually that quote from the Enchiridion looks, to me, like pure RET/CBT so I don't see how you can see the link as tenuous. I've read all of Epictetus and a lot about RET/CBT. I'll need a lot of convincing that the link is tenuous. Would you unpack why you think the link is tenuous?
Are you sure? My doctor is of Hindu origin, maybe I'll ask him, then again, maybe not

. But my point is well made, I think, a doctor could be a strict Hindu Brahmin, so wouldn't the Buddha argue strongly against him on fundamental philosophical matters, I don't think he would hold back just because he might get a bit of pain relief somewhere down the line.
We all have experience of dying, why is Nick's more pertinent than anyone else's? In fact, he praises the ancient philosophers and diminishes his own claim to expertise, quote, "I'm not Seneca, Buddha... I'm just a plodding saw-bones." Why then would you then think his experience is as much worth listening to as Socrates or the Buddha? If you ask you wife to fix the roof and she says "I'm not Fred the roofer, I'm just a plodding nurse" who would you get to fix the roof? Fred the Roofer, surely, it's just common sense!
Given the choice, would you talk to the acknowledged expert on the Tibetan Book of the Dead, or the bloke next door, to try and gain more insight into dying?
Every person is different, but they aren't different in all ways. We all have two eyes a nose.
When it comes to the best approach to dying, for me, and perhaps many people, I see it as being some combination of the approach taken by Socrates, Seneca, and other ancients.
I'm surprised you're buying in to the "stages, problems, relief, grief" model. Read the Maha-parinibbana Sutta: Last Days of the Buddha and you don't see him going through these stages (it's rather ridiculous to consider that he would!)
I don't want to know how ordinary people die, I want to know how experts on dying have died. These experts, like the Buddha, Seneca, Socrates are very rare. Nick and your wife have probably never encountered anyone like them. You do mention your wife encountering a "very calm" woman, so it may be she is someone who has taken the ideas of the philosophers on board, somehow. But as your wife doesn't have time to investigate the woman's philosophy/background/ upbringing we will never know, so I'm afraid your wife's account is not that much use to me. As a passing anecdote it's quite nice, it's good to know there are people calm in the face of death. But does your wife provide a systematic account of dealing with dying that can match that of the Buddha or Socrates?