Assuming the purity of the finished product is the same, the chemicals are the same. If Im reading the query right, the analogy Id give is that its like drinking water in Asia, North America or Europe... Its still the same H2O. That being an absolute statement since many products such as fuels have very broad distributions of constituents. At one point I had some sample chromatograms, but cant host them from photobucket anymore.
So if you can objectively show that the chemical constituents are the same, have the same levels of purity, have the same levels of other items like, say, sulfur, then the product should be the same. In reality there are variations on a nominal spec that are typically acceptable, but what those are I cannot say, and are product specific. A physical embodiment of that, which relates back to the chemistry is how the viscosity of a lube oil is actually a range of measured value. Take the range of viscosity for a 30wt oil, anything falling in that range being classified as such.
Some feedstocks may be less suitable for making some products too, but there's a lot more to that with regards to how aggressively you want to deal with a raw material or intermediate.
The other element is manufacturing base. Most people couldnt care less if their stuff is made in China, assuming they save a buck. Some stuff the industries are just dead and gone, but others people handwave all kinds of arguments as to why they would want something that is equivalently made here. This comment isnt meant to incite discussion on that premise versus the technical nature of the components, but it is a consideration, in that you may be supporting domestic vs foreign industry.