Great discussion everyone.
Another point to throw in - The French also made their first expeditions to India in the mid-16th and early-17th centuries. While mostly localized on the Malabar coast, they did have connections to the rest of India. Aurangzeb had a French doctor, Francois Bernier. French presence could very well have given rise to the Fringia term in somewhat more recent memory than the crusades

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Emanuel