I am following up on this post. I was able to find some information for you on achieving this desired functionality.
1. Try exporting the data as a CSV file.
2. Check out this post on Tableau Public about exporting data as a CSV Exporting CSV Made Simple | Tableau Public
3. There is a great blog on exporting data as a CSV from Tableau and preserving the order of the view: https://camsoe.com/2016/12/20/preserve-order-csv-order-in-tableau/
Please also vote for the following idea in the Ideas forums: https://community.tableau.com/ideas/2754#comment-21253
Voting for ideas shows support for the feature to be added in future releases and is reviewed by the Tableau Product Managers.
Hope this helps!