Yes indeed, but I think it is made up of several pieces all bonded together with rubbery stuff like engine mountings.
I THINK there is the inner hub piece with the pulley bolt through it, then a rubbery bonded goo ring round that, then the grooved pulley bonded onto the rubbery goo ring, and then the damper ring bolted to the hub inside the grooved pulley. I suspect the outer ring is NOT bolted TO the grooved pulley, but is bolted THROUGH it. If that is so, perhaps the wobbling of the outer ring is making the three bolts knock on the pulley and cause the buzzing and vibration? This might happen five times per revolution of the engine, or ten - who knows?
Looks like you may have a rubbery softening syndrome here.
If it was mine I would Tippex the bits, then take out the three bolts and remove the Damper ring. Replace the three bolts, with packing washers if need be, if you think they are necessary.
Go for a drive. The ring off won't cause any bother even in a decent run. It might in 100,000 miles running without it. It is there in theory to reduce the risk of fatigue failure of the crankshaft. The rubbery goo lets outer ring of the pulley soak up (damp out) the rotational pulses of the front end of the crankshaft.
Only thing I can suggest right now, and if it was mine I would try it, not least because it's so easy to do it.
CharlesY