There can be no assumption the pool is not bonded even if constructed with no metal. The assumption would have to be that there is continuity, some unintended conductive path to the earth, and it is just a question of resistance and current carrying capacity, so in the range of what we are discussing, enough to kill you, the pool is sufficiently connected to Earth.
Same scenario but now your (120) power source is floating ungrounded and you drop any *one* lead into the water, the power source will only reference to ground but not pass any current, in theory, and so in theory is swimmable (note not safe to swim in, safe for the mouse test subject to swim in).
.