A common picture of someone floating on the Dead Sea or Great Salt Lake, shows how high you float.
If you had that water in a bath tub, I don't think you would sink to the bottom, you would just awkwardly float in the tub. Bathing in small tub where your body does not rest on the bottom would be impractical/impossible. Imagine bobbing around in the tub trying to wash without tipping over and banging your head against the side of the tub.
With the gravity on Mars being much less than Earth, would you float in the bath water?