Probably Coriolis effect? I’m not a professional meteorologist but I am an amateur meteorologist. I live in New Orleans and hurricanes follow somewhat predictable patterns. (Maybe not always where you can pinpoint exactly where they’re going but they tend to turn north in the northern hemisphere and south in the southern hemisphere.)
The coriolis effect is a fictitious force, it’s just an artifact of not doing measurements in an inertial reference frame. I am not an expert in anything weather related, but i doubt it has much to do with it.
As the highs lows are part of the earth’s atmosphere and thus trapped in a non-inertial frame of reference, they indeed experience the fictitious forces, such as the Coriolis and the centrifugal force.