Ya, Would not consider TN a cold weather state. Unless you up in the mountains. I would stick to 10w30 or 40 for engine oil.
As for the gear box oil. Some change it with 1st service. some do not. Honda says it does not need it but I changed mine to a 90w trying to reduce the noisy. Helped some.
bigC. I knew about the W=Winter but still have always called it weight.