The ABC Dragobfly was really a dreadful engine. One of its bad faults was that at certain RPM it ran on the natural frequency of the crankshaft resulting broken shafts in few hours of running.
As for the word reciprocating, as long as the piston goes to and fro it is a reciprocating engine, be it radial, rotary, inline or what (even steam). I would urge you to read Bill Gunston¨s "The Development of the Piston Aero Engine" (or so). It is an excellent introduction to the subject.
And furthermore, I´d recommend joining Aircraft Engine Historical Society at
www.enginehistory.org to have a subscription to their excellent house journal, Torque Meter.
Jukka