The coriolis effect has nothing to do with this. The coriolis ‘force’ is not a real force, it’s just the product of things trying to move in a straight line on a rotating surface which to observers on that surface looks like a curve which implies a accelerating force. Usually this applies to things flying through the air, because the are moving independent from the ground. Something that is not a force can not influence something like the water in a thub.
What people confuse the coriolis force with is the centrifugal force of the earth’s rotation. But this force increases radialy but is tangetialy evenly distributed, which means it’s symmetrical so it doesn’t matter which hemisphere you’re in. It doesn’t point ‘left’ or ‘right’ it only points ‘out’ or ‘up’. Unless you’re right on one of earths rotational axis none of those effects matter.