I think summer tends to be more varied and interesting because you are going places and doing things. Winter is staying inside and reading or watching TV or other things that make you forget about what the weather was like at the time. (If I'm specifically thinking about it, I have many winter memories of slipping on ice on my way to school or climbing over snowbanks, etc. But if you don't prompt me to think about weather and just ask me to randomly give you a childhood memory, it's more likely to be about running around outside in the summer.)

One of my favorite misremembered weather stories was a landlady of mine. For context, she was a little crazy and spoke in absolutes. Everything was either "always" or "never" with very little middle ground. (I felt guilty when she'd tell people how nice I was because I volunteered "all the time" at the local food bank and, for the record, I helped her with two charity events in all the years I lived there.) Anyway, there was a neighborhood fair that a local church put on annually as a fundraiser and it was starting to drizzle and she kept telling, "I can't believe this! It never rains on the fair! Never! Every year it's a bright sunny day! This never happens!" and five minutes later we bumped into another neighbor who was grumbling. "Can you believe this? Every year it ends up raining during the fair! Every single year!" (I have no idea which, if either, of them was correct as I only bothered to attend the one year.)