Why can't I enable delete in a HFT in Experience Builder?

[TL2]

I have a HFS with a table.  Add, Delete and Update are all on.

When opening in Experience builder and adding the HFS and then the table to the edit widget, the delete toggle is grayed out.  I can enable delete on other tables in the same HFS but not on this one.  Any Ideas?

[AustinAverill]

A shot in the dark, but is the ExB shared with a role that has editing capabilities, but not delete permissions?