What other consequence does the eccentricity of the Earths orbit have, besides the worse seasons?
The eccentricity of the Earth’s orbit has nothing to do with the seasons. Seasons are caused by the tilt of the Earth’s rotational axis to the plane of its orbit around the Sun. Northern hemisphere summers happen when the sun is farthest from the Sun and NH winters happen when the Earth is closest to the Sun. On the equator, there are no real seasons other than dry and rainy. You’re still looking for your first consequence of the Earth’s orbital eccentricity.