> Clues for identifying something like this
Hmm. I'll keep my thoughts focussed on just the "Scrambled" design weights.
If you can find a copy, I would suggest buying (or just browsing) Paperweights by Sibylle Jargstorf, published by Schiffer 1991. This book shows a good range of worldwide paperweights and includes "scrambled" designs from Venice, Murano & France.
From a paperweight collectors' viewpoint there is a distinction between 19th century Italian weights (known as "Venetian") and the whole vast range of 20th century weights (known generally as "Murano").
One point is that a scrambled weight from 19th century Italy will have rather better worked twist canes than the 20th century examples. By this I mean that the 20th century ones - such as the probable / possible A.V.E.M. weight pictured here - have quite large, flattened twists, usually in single colours of pink or blue or yellow, and can have gold aventurine to the edges. The 19th century ones have tightly twisted canes in (mainly?) red, white and blue on the same cane. Aventurine is also included but as separate pieces.
The point about rough ground bases (course) indicating Chinese "lookalike" is valid, but 19th century Italian scrambled weights also have this feature, but perhaps not quite so "course".
If you find a weight that looks roughly similar to the one shown here except that it has the "tight twists" I mentioned, and may also include very tidy whole or part millefiori canes, it might by French, not Italian! And it might be also be modern, not 19th century.
Basically it's not too easy to Id some of these weights without a known example for comparison.