The only difference between the EC Swing basic and the Jive basic (Fallaway Rock) is where you consider the beginning to be. Both figures are essentially two chasses and a back rock. If you dance them in an endless cycle, it doesn't really matter where one begins and the next one ends, so therefore they're basically exactly the same step.
And so the same applies to the Throwout/Fallaway Throwaway. There may be no rock step at the beginning of the Throwout as it is written in a technical description. But it is there, as the end of the last figure you danced (presumably a Basic Step, or a Link to CP). The combinations are excatly identical in both styles; The only difference is the point at which you would describe the beginning and end of the figures in each style.
Sincerely,
Jonathan Atkinson
www.ballroomdancers.com