On Fabric, Minecraft 1.20.1

I connected a few drawers to the inventory connector as bulk storage, and a few cables to a chest for misc items. But when I put items in the system, they are placed in the chest instead of their respective drawers. Even though the priority of the cable connector is set to: "Priority: Lowest". Yes, if the drawer is directly connected to the inventory connector items are correctly put in the drawer, but even a single drawer out they land in the chest.