I opened a Cayde Chest on the EDZ after completing a heroic event and looting the chest, as well as opening a High Value Target chest shortly before. There was a slight pause between the first two and the Cayde, but no more than a minute or two. There was zero reward at all, including glimmer or any base rewards like that. I snagged a video demonstrating it. If it helps, I can post the xboxdvr link.