That's the only way to do it - another sheet that shows the tabular data. You can get "cool" and sheet swap it with the graph, but you can't have the text and a graph on a single sheet
What you already do is the way to do it.
Chart is the chart.
Table is the table.
Separate creatures in Tableau.
Separate objects on the dashboard.
works well, but just "double checking"...
-trying to save a Worksheet
Tableau has inbuilt capability to provide extract data, so its a bit of a redundancy providing a crosstab page.
You may just need to educate your users about the benefits of providing machine readable data...