None of the Shipment or ShipmentDraft endpoints allow users who only have ORDER_VIEW rights, therefore it doesn't make any sense that this right displays the "Fulfill Orders" entry in the menu. Users who only have ORDER_VIEW right won't be able to see anything there anyways. Moreover, this may be confusing if implementations don't want to use local fulfillment (aka don't use shipment rights at all).
Create or edit use to only have ORDER_VIEW right
Login as that user
See "Fulfill orders" link under "Orders" in menu
Only users with SHIPMENTS_VIEW or SHIPMENTS_EDIT see the link to "fulfill orders"
Either of the above right is required, not both