That idea of flu season seems a distinctly North American notion. Flu season in Thailand is June to October, which coincides with rainy season when it is hot and very wet.
I graphed death rate by absolute latitude for countries with more than 1000 cases, and there is a clear trend. There is a bulge in the middle latitudes, and dips toward the lower and higher latitudes. My guess is the virus doesn't do well in hot climates, and people don't congregate much in very cold climates.
Would also jive with seasonality of the flu...