Hi @LucasMNDNR ,
In the General Settings of the widget, enable the option to "Show Attribute Actions update button": Smart Editor widget—ArcGIS Web AppBuilder | Documentation
You can then click the "Update dynamic feature attributes" button when updating a feature to trigger the intersection attribute action.
You could also enable the option to "Save attribute updates automatically" so you won't have to also click save after clicking the attribute actions button above.
@AlixVezina thanks for the response. I had the Show Attribute Actions update button enabled and was clicking the Update dynamic feature attributes. However, the Attribute Actions > Intersection only gets triggered if I edit the geometry by moving the feature slightly. Maybe this will resolve when my organization updates to portal 10.8?