Items become un-storable
After a certain point in my game, a lot of resources suddenly became unstorable. The dialog to store items, as well as to rush the store command, stopped appearing. Various weapons as well as mundane resources like cotton were affected. Things can be interacted with--nobles can still force-equip items, but they go back to basically being ignored when dropped (and the ignored dialog is unchecked).
I have open stockpiles with space available, and haulers. Other items can still be stored too, that were present from before this bug appeared.
EDIT: looks like I was just out of storage space, due to queue'd up tasks.
This can happen when there is no space configured to store something or all the free space in your stockpile is reserved by other outstanding haul tasks.