I have the outer (older copper one) from TTWeights on my VPI Classic.
I think copper got so pricey that TTWeights changed to another material a year ago or so.
I don't use a large inner clamp because the benefit of a van Alstine outrigger on my Grado outweighs it's benefit.
The benefit of any inner clamp I have found to be small. The benefit of the outer clamps are really much more easy to hear the benefits from

Not sure if it damps the vinyl itself to a lower frequency and this is beneficial or taming warps helps tracking for the cartridge and arm...but the benefits of an outer clamp are a nice lift for vinyl playback.
John