There would be some amount of vertical circulation due to Coriolis with the pool running parallel to the spinward-antispinward axis, yes. You could figure out e

There would be some amount of vertical circulation due to Coriolis with the pool running parallel to the spinward-antispinward axis, yes. You could figure out exactly how much because he gives the dimensions of the ship, rotation speed, and we can estimate the size of the pool, but that would be beyond my meagre mathematical abilities.