Forgive me for being contrary, . . .but. . .I see a difference. At the counter, the possiblity of manipulating or steadying a countertop appliance (say, mixer) while adjusting the fill rate of the faucet at the sink, or while adjusting the range settings, or while openning the fridge, is normal multi-tasking for a busy cook. Read thru body fault potential.
The simple submersion of a body in pool or hottub water (and contacting water only), sets up one for a thru body fault from the gradient established along the body in some fault conditions.
In a sauna, one is in contact with, what?, a towel, wood bench (or other low specific heat material), birch whips
, the water pitcher. . .but not anything electrical.
Seems safer, by comparison to the first two situations.