Good morning @WarrenMedernach thank you for the additional inquiry. At this time, I believe there is a limitation to importing the project table. I assume you are using ArcGIS Pro? But please confirm.
Also, the option to Add attribute table will need to be toggled 'on' for feature layers (assuming the correct permission/role is assigned to the user).
You may find our latest blog on this workflow helpful. You may access it here.
Shannon Cardoza
Product Engineer