Ray let us know that the 1982 cane we have discussed was
found in the book "paperweight signature canes by Andrew H Dohan"
And Frank commented:
No one else checked that
I admit it - guilty as charged

I think I was swayed by a) the views expressed in the course of this message and b) the fact that this particular cane is seemingly not well known.
So, well done Ray, for doing a more thorough job than me on thumbing through the books.
But there's more that can now be added to this ...
Nadine's weight is very recognisable in having canes which, as she says, are known in other Caithness weights from [at least] the 1980s. But those same canes are also known in the weights from Edinburgh Crystal - which is not surprising as those weights were made at Caithness Glass.
Not only that, those same canes are a regular feature in St Kilda weights (having the StK signature cane) which were made by John Deacons during his Jay Glass years. This is also not surprising as the general canes were also made by John Deacons (a point that John confirmed to me at the Perth Conference last year).
So the tie-in of John's production of the 1982 Whitefriars cane for Caithness and the general canes used for his StK weights and the same canes being used for Edinburgh Crytsal weights is now clear.
Also, it is clear that the general canes (with the star centre in a thick rimmed cog sleeve) are very similar to original Whitefriars (pre-Caithness) canes that were often included in their weights. The original Whitefriars canes had six-point stars (and perhaps five-point?) and the outer sleeve was smooth or "wavy" but not noticeably "cogged" as in John Deacons' versions. However, at a distance, the canes all look very similar, which may have been a deliberate design consideration.
But ... there is still an outstanding question ...
The information from the Dohan book about the connection with the Caithness Glass "Whitefriars" weights seems reasonable. So why is it that the Charlton Caithnesss Paperweights book does not include any 1982 Whitefriars weights that look like the ones we have seen here? Maybe these weights (the "Whitefriars miniatures" that Dohan mentions) were all "experimental" and never made it to the regular production?
If that's true, then can we say that these are even rarer than has already been suggested? On the other hand, it has been said that a number of these have been apprearing on eBay recently, so perhaps they are not so rare after all - but if there are so many (whatever the actual number may be) why would that be, if they were just "experimental" ones?
Hmmm. Are we really at the end of all this?
And for extra info ... a maker by the name of Robert Wetzel (not well known in paperweight circles) visited Scotland and John Deacons helped in producing a signature "RW" and 1985 date cane - with different colours for each numeral. This info is also from Dohan''s Signature Cane book. So there is yet another example of a multi-coloured date cane with the John Deacons influence.