Sling Load,
Yes, those fying bedposts had nicely shaped ducts (at least to y inschooled eye) so they were similar, as is the Sikorsky Cypher RPV.
The duct shapes the fan output flow and allows it to spread out coherently. The result is that the thrust of the ducted fan almost doubles, relative to the small diameter (picture the exhaust plume fanning out to an equivilent larger disk).