The canes in the eBay weight are original Whitefriars and the base of that weight is formed in the original Whitefriars way.
Similar canes used by Caithness were also used for the Edinburgh Crystal millefiori range of weights, which Caithness made for them under contract, using canes made under contract by John Deacons. Not surprisingly, the same canes can also be seen in John Deacons' "St Kilda" weights (and possibly others).
There are differences in the canes from original Whitefriars and those from later Scottish work. But it is sometimes hard to tell one from the other without checking several references.