The published field is mapped for vendor's to hide specific column name or column index from publish in Shopify Store.
The below picture shows, especially the highlighted with red colour box, the vendor's can indicate the column name or index as 'Price' or 7 based on the product feed file.
When doing Add Product Feed, it's up to the vendor's to choose this field for them to hiding any column name in feed file .
Add value indicator to publish/unpublish
By adding this Published field when add product feed process, there also more setting is available for publish or unpublish by adding value indicator.
1. Unpublish value indicator
Unpublished value indicator is will not unpublished if the quantity still available unless it force unpublished is enabled. There are some value are use to indicate in given field as shown in below figure, so that the colum name or index will not be publish.
For example: 0, hide, unpublish, out-of-stock
If the cell is empty, you can use the <empty> value indicator to replace the empty cell.
2. Publish value indicator
Publish value indicator is for to show, publish and back-in-stock. The value of 1 is inclusive of 1 and the number greater than 1. There are some value are use to indicate in given field as shown in below figure, so that the colum name or index will be publish.
3. Force unpublished when quality still available
By enabling the toggle icon, it will automatically unpublished when quantity still available in feed file.