No, a lot of saunas in Finland are electric heated. But they're still only 3*16A at most (and usually a lot less, but that depends on the size of the sauna). I think mine is ~7kW and still heats the sauna to high temperatures, just takes a bit more time.

I still don't get though, if living in rural area, why not heat the pool with wood. It just has that sensation that electric heater doesn't provide.