The meaningless stick is a collectible inventory item in Duty Calls: The Calm Before the Storm. It must be picked up to proceed into the area where your ally is killed, but it otherwise does nothing, just like the 500 sheets of wide-ruled notebook paper.
Bonus:
there are rumors that the meaningless stick is a soviet spy.
The Meaningless stick in the inventory bar.
The Meaningless stick is about to be picked up.