20 Amp Power cable--work with "any" 20 amp unit?

I have a 20 amp Running Springs Power Cable--the Crown Jewel--however I intend upon using it with another brand of condtioner that is not Running Springs, but still 20 amps---my question---will connecter that plugs into back of power unit, fit universally? or---is the Running Springs design in back of unit for plugging in---different than others? Just curious--I may need an adapter if so---feedback would be appreciated. I am only familiar with 15 amp items---