I'm using InDesign from iCloud. I drew a round corner object box, white fill and added a drop shadow - The shadow was added using the Effects panel. The object sits on red background. On screen the shadow has rounded corners. When printed in color (this is important) to my Xerox DC250 w/EFI RIP, the shadow has a secondary faint shadow with square corners slightly larger than the shadow for the object. When printed as a Grayscale it prints properly.
I made a PDF and it printed with the same results.
I then made the same object in Illustrator and it printed correctly.