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.
There is a common saying when living in areas when using wood for heat -
‘Wood warms you up three times. Once when you cut it, once when you split it, and once when you burn it’.
The amount of manual labor and time required to keep a pool warm from wood is monumental. It will definitely keep a fit man in the prime of his life busy and tired.
It isn’t something to sign up for lightly, especially for someone who may not have that kind of physical strength (or want it spent on heating their pool).
Is this for a wood-construction sauna with a heater warming up rocks that you can steam water off of? That's a lot less mass to warm up, mostly air, and a lot less ongoing energy loss than a big heated pool.