Using the relay method, like the 30100, means less current flows through the wheel axles; that is, the relay contacts do the heavy-lifting in terms of carrying the current. Consequently you should see less sparking and fewer accumulated "pits" or spots on the rails where the arcing occurs from wheel to track.
As you say, the "chatter" reduction/elimination in the 30100 refers to the contact bounce of the wheels making intermittent contact with the rail. This typically occurs as the consist enters or exits the insulated-rail section because that's when you may only have one or just a few axles bridging the outer rails and hence more chances to lose contact.
I believe what you mean by the latter "chatter" is the iconic buzzing sound from AC-operated solenoid mechanisms. In this case the solenoid is typically spring-loaded and as the AC voltage cycles 60 times/sec, the solenoid voltage collapses to zero at that rate (well, twice that rate) at which time the spring pulls back the solenoid pin until the voltage builds up again. So the chatter is the sound of the solenoid pin/rod vibrating in and out. As suggested in earlier posts, you might consider using a DC power source to eliminate this type of "chatter". There are some accessories that depend on this type of AC voltage chatter - such as vibrating platforms (horse corral) or some rotating searchlights. But if your accessories are DC-compatible, you can pick up a suitable DC-output adapter (a.k.a. wall-wart) for maybe $5 or so.