The early seventies Kawasaki's were
Rotary Valve engines,
not Rotary engines. They were two stroke engines with the carb mounted on the side (right side, normally) of the crankcase, under an aluminum cover. The advantage of a rotary valve in a two-stroke without a reed is that it allows the intake port to be opened and closed asymmetrically, or at two different points in the rotation of the crank. Using the piston skirt to controll the port opening, as was otherwise the common practice, required the port to close at he same number of degrees ATDC that it was opened BTDC. The rotary valve could open the port earlier, and then close it before a backflow began at low speeds, giving it better low speed performance then a piston-port engine with similar timing.
Rotary engines have poorish low speed performance, but rev very well. Their power advantage is similar to that of a two-stroke over a four-stroke, in which the two-stroke fires twice as frequently. The Rotary produces about two powercycles per crank revolution (3 per rotor cycle, geared down internally). My biggest issue with the ones I worked on in cars is that they were nearly impossible to
troubleshoot, since everything that happened to them seemed to produce the same symptom; it wouldn't run.