Discwasher company marketed a device called the Disctracker that applied damping (I think pneumatic) to the headshell, riding just in front of the stylus assembly. An outrigger device attached to the headshell screws. It 'rode' the LP providing damping. They advertised it using the Denon DL-103D, as an example of a cartridge that might benefit from its action.
Shure cartridges were viscous damped. Unfortunately, after time in service the damping material (not sure what was used) could dry out, making it useless for the intended purpose. I have a V15xMR with this problem. I know JICO offers replacement styli for the V15, with a brush, but I do not know whether the brush they use is actually damped, or just hinged. My guess is the latter.
The information about Stanton (Pickering) is, unfortunately, the case. The brush rode on a hinge, offset by a 1 gram tracking force increase. It might have provided minimal damping, but that was not its main function. I have one, NOS, and will do a resonance test some time in order to find out if the hinged brush does anything about that.
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