Adding fields to "Show Data Point as Table" data & saving the resulting table

Hi, ElioAngarita 

I reproduced your scene and found that it indeed can't be saved. I think it is by design and can't change.

I recommend you to use the drill through function, it can almost achieve the same effect.

Check it:

Set up drillthrough in Power BI reports - Power BI | Microsoft Docs

You need to put a table visual in the drillthrough page, and then add these fields to the visual.

'Drill through' will automatically drill to the data point of the data point you selected.

Did I answer your question ? Please mark my reply as solution. Thank you very much.
If not, please feel free to ask me.

Best Regards

Janey Guo