C'mon Fernando, it was more my 'interpretation' than your description. I already had in mind the examples I had seen which did often closely respond to those you described, at least in my mind.
Thank you for the link to that discussion of 2011, and while an attractive example of 'Caribbean' form cuphilts, it varies from the standards of the Continental examples of the form.
As I explained then, the 'skin' used on the grip I believe to be 'galuchat', a faux rayskin developed by a leather worker in the court of Louis XV around 1760s. This was seeds embedded in untreated horse skin to give the hide appearance of the rayskin, and dyed accordingly.
In kind, I do hope the rest of my missive was somewhat decipherable in describing my views on this subject.
Interesting that while my descriptions of Caribbean/colonial cuphilts lent toward dramatic austerity, this one is nicely done with the grip material as well as turned quillon terminals. On your example the terminals are simply bulbous, but unworked. This observation is just that, and not meant to classify or categorize yours or any other cuphilt example. For me, the entire genre is fascinating regardless of these factors!
I took the liberty of extracting a photo from the thread you linked and cuphilt described for the benefit of readers for visual comparison to what we are referring to. The box is of the galuchat material, again for comparison.