Apparently the Arctic gets more insolation than the Antarctic, but the former only peaks at about 25% higher than the Equatorial mean, and the peak is relatively short.[1]
You might want to read what you link: Because the insolation function is the same for the northern and southern hemispheres, i.e., S˜(φ,ε)=S˜(−φ,−ε), annual solar insolation is the same for corresponding latitudes in each hemisphere.
[1] https://www.sciencedirect.com/topics/earth-and-planetary-sci...