Last time I checked the amount of water in the world hasn''t changed. My lavish shower is your tooth brushing water.
As far as freezing, water for winter use needs to be inside the heated envelope. Electric tanks heaters are for shore power.
The first question is what is supplying winter heat? That energy has to be a liquid fuel as the only source that has sufficient energy density. That source must be what keeps you fresh water liquid.
The math doesn't work with electricity.
Keep it simple
Question, that heat tape used to wrap water lines, if wraped around a tank, would that work? They don't draw much and guess you could run off an inverter and a battery.