Things to notice:
No wind correction is needed when flying directly into or away from the wind
Wind correction is greatest when your course is perpendicular to the wind
Your rate of turn is least when flying directly into the wind and gradually increases as you turn crosswind/downwind.
Your rate of turn is highest when flying directly away from the wind and gradually decreases as you turn crosswind/upwind
In the half of the circle from the downwind point to the upwind point, you will turn less than 180 degrees (how much less depends upon how fast the wind is) and you will have more time to do it (as the wind is slowing you down), so these two factors combine to make your required rate of turn lower
In the half of the circle from the upwind point to the downwind point, you will turn more than 180 degrees< (how much less depends upon how fast the wind is) and you will have less time to do it (as the wind is speeding you up), so these two factors combine to make your required rate of turn higher