@clearthinker
I think that we need to step back and look at drive alternatives a little more accurately. A well tuned PID controller will not constantly speed up and slow down, provided the motor controller architecture is well designed.. The phenomenon you mention does exist in poorly implemented systems and is called hunting. Cogging is a characteristic of some motors due to their physical build. (Slotless, coreless motors, properly made are zero cogging and have vanishingly low torque ripple.)
Synchronous motors, widely touted in these parts for belt drive and rim drive, under a varying load, say playing a record, do hunt about their average if you measure them with sufficient granularity. Synchronous motors therefore exhibit the very characteristic you rail against in a DD system.
The answer to smooth speed is only partly helped by high inertia. What matters more is the frequency response of the drive. A function of the platters inertia and the motor's torque. Then there are a multitude of other factors to take into account when designing a drive system, no matter what type of architecture you choose. Please view the youtube link here. Note how quickly the arm, which obviously has mass, is pulled across the tank and in so doing how it lifts the weight in the glass bottle. At times the arm is held for some time against the edge of the tank. Inertia won't save you under these conditions. The platter will slow down and a belt, thread, tape or rim drive, would slingshot the paltter up to momentary over speed once the high stylus drag reduces. A properly implemented DD will also do this, but at a much lower magnitude.
I realize that I'm opening Pandora's box here and I'm not looking for a debate on the subject. We all have our favorites But please look at the video and then consider what would be the best drive architecture to counter this dynamic load. It is an insanely difficult task to control a platters speed under dynamic conditions. All drives have their pros and cons. I happen to believe that modern DD is superior at this. of course others disagree and that's just fine with me.
Скатывающая сила как измерить - YouTube