Strong contender! Definitely less populated, but I think also less well known?
Storspoven
World recognition or in-country?
If world I'd guess Huskvarna (pop 24 000) for Sweden.
Known for having a company making chainsaws (among other things) named after it (Husqvarna). It is one of the two main brands of professional chainsaws (the other being Stihl).
Nah, not that crazy.. typically a sauna here, in Sweden, is between 70 - 100 C.
Very cold sauna! Should be at least twice as hot.
Sweden: Healthcare is mostly tax-funded. There is a small fee (for adults between 20-85 ) for each appointment. This fee lies between 150-330 SEK (~15-33 €), depending on which region you're in. Emergency care is usually about 10 € more (40€), and an ambulance trip double (so ~60€). If you're admitted to a hospital the fee is 120 SEK/day (in my region). Total fees paid for appointments during a year is capped at 1300 SEK (130 €), after that they're cost-free.
The above is regarding "necessary" care, so things like cosmetic surgery, vasectomies, etc. you'll have to pay more.
Access to specialist doctors varies, some you can contact directly (usually private practice), and others you'll have to first make an appointment with a general practitioner at a health center, then get a referall if they deem it necessary. In my region there's quite a long wait time for many specialists (I had to wait 6 months for a head MRI), and sometimes you'll have to travel quite far because the care is only offered in one hospital in the region (My wife had to drive 200 km for a surgery).
Admittedly my WW2 history knowledge is quite lacking, but I don't recognise Vichy because of the war stuff.
But I do recognise Vichy! Because we have a sub-type of mineral water in Sweden that is named after Vichy, "Vichyvatten". Wikipedia tells me the original was from a spring near Vichy, hence the name.