I only ever paid attention to seasons when my character was lord of a city, our a banker. My character on fei never knows what season it is. Personally, i don't really care about it either way. And maybe that says a lot right there.
As far as looting goes, there are two options that only show up in summer and fall that do extra food damage.
It was most certainly a bane to most bankers when I was in Arcaea.