Rotary engines ARE otto cycle classed engines. THey use the same 4 stroke principal to pricess fuel & air.
Rotary engines dont have a reciprocating motion and fewr moving parts, less pumping losses, less friction, less complexity and for the same CC they run more power because they have more combustion sequences per rotation of the output shaft. A piston engine has one combustion per 4 strokes, a rotary has 1 for ever 1/3 of a turn. And a rotary always has each stage intake/combustion/exhaust occuring at any one time.
A problem with rotarys is how to work out the actual CC rating of the engine. They run lower CRs and combust fuel worse due to chamber shape and CR. But they make better use of the burn and torque is tranferred until the apex seal reveals the exhaust port, whist a piston engine only really uses the pressure rise for a short few degrees of crank rotation, generally around 25-35 deg.
Wankels process more air per rpm, simple. more power.