I have a slightly different mindset on this, as it's a constant part of my working life. We're trained not to be captured. What, exactly, do you think that may ultimately entail? I've thought about it - a lot. It's preparation, if nothing else.
Occupational hazard. I have been a firefighter/EMS and we placed ourselves in harm's way (we weren't getting shot at, thankfully), but we did so to save others, and less so to save property or prevent further damage.
Life is not precious. If it were, no one would advocate for the death of another (conveniently carried out by a third party). Consciousness is precious.
Nonsense. If life were not precious, how come we risk the lives of many to save a single person, be they comrade or stranger? We risk our lives for community and country, we go to extraordinary measures to preserve life, to survive. Without life, there cannot exist consciousness as we know it so we go to great extremes to keep it, to save others, to survive. If life was not precious we'd be so many more Eloi watching one of our own wash downstream with no care or concern.
Sorry, but I know I'm not wired that way, and I seriously doubt you are either, despite having been in situations where some lives were far more precious than others.
Finally, I absolutely refuse to treat my family or myself with less dignity than we treat the cats.
How you treat your cat is up to you. From that remark, you don't put down your own animals, either.
Been in enough hospitals to know one thing, bone deep - I don't want to live in one.
The vast majority of time I have spent in hospitals has been on others' behalf, not my own. I avoid the places as much as possible, and doubt I will die in one unless I came in the ER, but then I don't ultimately control events, so who knows?
The option to refuse care exists here, and a person may exercise that option, even if it means their death. That might not seem as comfortable as getting the same needle we reserve for the most evil of convicted criminals, but the option is there. Of course, it's decidedly inconvenient for all involved if the person who refuses treatment also refuses to just up and die, kinda like a spurious pregnancy.
But if some do it, there are those who will want it done by all, and at some point medical facilities and staff will be required to provide the service. If a baker of florist isn't allowed to not provide a service based on religious objections, then health care professionals are next. Some doctors will simply quit, which will leave the ones who are just as happy to (chemically) pith you like a frog, cut out the marketable bits, and chuck the rest. You wouldn't part out your cat.