Different resources should be slightly easier to gather in different seasons. possibly a 1.2 bonus or similar.
This would give high level players a chance to micromanage gathering to optimise collection speed, while allowing entry level and hands off players to play as they currently do.
This will also make the "don't gather X" tools more useful moment to moment.
Clearance weather could provide a bonus to gathering goods that want to be dry stored e.g grain, herbs and roots
Standard weather could provide provide a bonus to gathering thematically water dependant goods e.g moss broccoli, berries and reeds
Storm weather could provide a bonus to gathering animal products, where the animal producing the goods are affected by the storm e.g insects and eggs