I’m not an expert in wood species by any means but for what its worth...
Sets made in Europe were turned and carved from European Boxwood (Buxus Sempervirens) while Indian sets are made from a similar but different Indian boxwood (can’t think of the name right now). Buxus was readily available in England, France and other european countries. Notably Turkish buxus was much prized and may have been used in the production of some antique sets (not sure of this mind you)
I have purchased and used buxus in a few turning projects and it is not yellow it is in fact quite similar to the Indian boxwood when new. The two do seem to age differently, however, with buxus taking on a more yellowish hue and Indian boxwood turning a bit more tan coloured.
The proof that it is wear and exposure to the environment that gives buxus its patina can be seen in variations of colour you see in antique sets, some have that yellow tint, some a more honeyed look and some a distinctive “toffee” colour, yet they can all come from the same period.
Two other factors that need to be taken into consideration is - The finish applied. This was probably shellac back in the day (which may give a tint to the wood and some kind of polishing compound now. The second item, which I haven’t seen mentioned, is the fact that these very old sets were probably subjected to years of tobacco smoke wafting across the board. Maybe you should take up smoking to recreate this patina, with the added benefit that your teeth will probably take on the same hue 😀
With regard to the linked set. Are you sure this is a set made from buxus? It looks like an Indian made set which would probably be made from Indian boxwood. Could “English” just refer to the style of set? I could be wrong.
I always new British Boxwood was yellowish vs Indian Boxwood which is a light tan. I thought British Boxwood could no longer be sourced. The Jaques sets started out with British Boxwood. If one would make an 1849 or later Jaques set out of this wood I feel it would not need to be antiqued. Many think that yellowish look is all patina but it started out with a very much darker boxwood to begin with that almost looks antique.
An English Boxwood set
You can see the difference in the colour of Boxwood. I feel any vendor making a more expensive set sourced from British Boxwood would have a winner. Just my opinion. Need not be antiqued as it already has somewhat of that look everybody trie to emulate.
I am by far not a connoisseur of antique chess sets but I think this wood could go over in a huge way to fans of high-quality sets. Since I saw this less expensive one for sale I wondered why couldn't a medium range set be made in this colour?
Besides the early Jaques sets the 1904 CS came to mind as those original pieces were yellowish and that is NOT the patina as I saw one up close that was stored away for more than 100 years without (more than likely) even seeing the light of day. The set I saw looked like it was made last week but was an original from 1904.