Should you switch out your items seasonally? In my opinion, if you have the space --NO!!
If your closets aren't overflowing, then don't recreate the wheel. Why waste time if you don't have to. My closets remain the same day in and day out. My gloves and scarves live happily on the coat closet shelf.
I always hear the question "But I am not using it right now". As Paul McCarthy says "Let it be".
If you are living in tight quarters, then a seasonal switch might be necessary. Some city closets are just too tiny!! So if you have to switch out clothes, do it right. As with any organizing project, store like with like. Bin or box up your items. Label them clearly.