This is the difficulty in id'ing OE weights, apart from some whose output is documented.
Even where new documentation exists some insist on old truths, "antique Whitefriars" f.ex.
The only way I see (unless some irrefutable evidence comes to light) to link the attributed Bacchus
weights to Bacchus is to analyze the chemical composition of the clear glass in the weights
and match that to proven Bacchus clear glass. Even SG comparison, which is useful insofar as it can
show that some weights clearly have a different composition, leaves something to be desired
since the method used cannot tell us the chemical composition of the object measured.
I suspect a spectrometer would do the trick but those aren't to be had at the local hardware store

If someone with access to a spectrometer could be pursuaded to analyze a number of weights and glass
we might get to the bottom of a few mysteries - might be a good project for a physicist with spare time
And as Alan says, canes do wander - even in antique weights.
A case in point from the 2008 PCA Bulletin, a Milville umbrella weight with apparent Baccarat canes!
Anyways - this weight is a very very nice OE weight with interesting complex canes.
Edit - Kieran, sorry to be bugging you for better pics but I can't see the cane details.
If possible can you try to get some images of just parts or the weight of a couple of canes.
Adding two pictures here to give you an idea of what I'm looking for :