There is a difference between the natural and synthetic rubber , the natural rubber is not an engineering material until crosslinkg occure and became useful for many purposes then of course the chemical bonding will differ from the two types of rubber
Interesting question, and it depends on the purpose to which the final product is going to be obtained.
Natural rubber certainly will show significatively changes in their original properties, and those can be further improved by industrial processes as vulcanization, for instance.
Synthetic ones are almost obtained as planed.
Natural ones may have some properties changed, improved, or even added by some specific additions.
Costs concern are by far for the synthetic ones, cheaper and attend the demand at their large amounts.
In the ambient point of view, natural ones are by far preferred; it may generate a surviving way to poor communities as the marked increases the demand.
That's for sure, and natural ones would be preferred by their characteristics as well. Nevertheless, world production is not quite prepared for the substitution.
The product quality is another point, and a low-cost synthetic pathway is giving away threatening final material, easily found in the market. Natural is of much higher quality, in much low quantity.
The consumers play an essential role by the quality and social supported product instead of cheap and hazardous ones ( in some sense).
Chemical properties will always be manipulated to attend some consumer market sectors as conductive, nonstatic, colored rubber, and so one...
From my perspective, it did not affect the final product quality, for reliable producers, oppositely, may increase it by the specific demand.
The specific requirements will take us to another level; what to do with the synthetic ones after use? Natural ones, some works have already shown, are a bit easier to dispose of, the chemicals and industrial process in the synthetics will impose another challenge.