Great posting there Derek with a great question to ask.
Mike's input to the scenario is a perfect example of how radio can help in dire situations.
You can be pretty sure that if you ever had to make an emergency call on the Amateur bands you'd choose any and all frequencies you have access to. At least by calling many frequencies you'd be bound to receive a response.
The RSGB has a brief web page on emergency radio use :-
https://rsgb.org/main/operating/emergency-communications/
They mention Raynet there too with a link to their pages.
I have heard stories second hand regards such emergencies but also heard a direct example on air.
An elderly gentleman on a typical 80m or 40m net (I can't remember specifically) was having difficulties and didn't feel too good whilst on a 'Lockdown-Net'. Luckily someone knew him and directed emergency services to him, I believe also started driving to his location. I'm unsure of the outcome but it was with a sense of relief that someone had come to his aid.
I'll always remember how he apologised for interrupting the round-robin list of callers, bless him.
Of course there's whole areas of 'expertise' regards so called SHTF scenarios and you can explore them at your whim. (The USA seems to love such stuff.) I do though remember the panic that ensued by my own daughters when a power cut had them shocked that despite their mobile phones being charged they couldn't make calls, send texts or access the internet.
Under emergency situations anyone can transmit on Amateur frequencies if it involves a life threatening scenario even unlicensed and handy to know if there are other family members at home. Might be worth brushing up their skills on where your radio is with the basics such as how to turn it on. You just never know.
I would have thought that 2m/70cm and repeaters would be a best option for such a scenario knowing that some repeater keepers go to great lengths for emergency backup power. Being perfect for local communications is a plus. However, many of the repeaters are lacklustre regards activity in some areas not helped by selfish individuals who abuse them for whatever nefarious reasons.
Ashamedly I've stopped monitoring repeaters I can receive near me but wasn't helped any by the recorded "Convoy" CB phrase transmissions, the constant 'Kerchunking' by keying up the repeaters or the phantom whistle blower.
Probably of the same mentality as those that call the actual emergency services 'just for laughs'. Let's hope that one day their own possible reliance on such facilities isn't hindered also.
Anyway, apologies for my usual waffle but it is perhaps another one of those areas we never investigate until it's probably too late.
All the best,
Victor