True, the rotaries did have throttles. But they were slow reacting to the throttle.
Not only because fuel and air had to be adjusted independently, but because the carb was mounted to the rear of the engine, and the intake air, fuel, and castor oil, went thru the whole volume of the crankcase, before it found it's way into a cylinder on the intake stroke.
But there was a great deal of difference in the throttle ability between the single valve rotaries and the two valve rotaries
The single valve ( monouspape) rotaries took in most of it air thru the open exhaust valve, and was fed a very rich mixture thru the crankcase, so the carb only had limited ability to affect engine rpm.
The two valve rotaries were a little more controllable by the throttle, but still suffered from a lag between throttle change and the engine's reaction to that throttle change.