The same holds true across the Pacific:

> Chili peppers spread to Asia through their introduction by Portuguese traders, who—aware of their trade value and resemblance to the spiciness of black pepper—promoted their commerce in the Asian spice trade routes.[10][14][15] They were introduced in India by the Portuguese towards the end of the 16th century.[16] In 21st-century Asian cuisine, chili peppers are commonly used across many regions.[17][18]

* https://en.wikipedia.org/wiki/Chili_pepper#Distribution_to_A...

All the 'traditionally' hot dishes of India and Thailand that have chili peppers are post-1492. I think that after a few hundred years it's okay to call the cuisine 'traditional'.

See Mann's book for some more on this:

* https://en.wikipedia.org/wiki/1493:_Uncovering_the_New_World...