I have been on a goose chase trying to track this down. I think I may have figured how to do for data going forward. But need to certainly reprocess all of my old data.
Process testing now for data going forward...
There is a field in processing rules configuration "Customer Perspective" that I setup to dump into a eVar. From there I am hoping the "Background/Foreground" value will populate in the data feed. Hopefully this will also unlock data warehouse segmentation as well. Will update thread here if on if this works.
Customer Perspective URL Parameter