I never considered Palestinians “brown.” They all look Caucasian to me. I would only feel otherwise if some of them had ancestors among the Mahra and the Shahra, the dark Arabs of Yemen and Oman that appear to be related to the Veddoid or Dravidian peoples of India.
White supremacists consider Hispanics or Arabs as: brown.
Go figure. The one Palestinian family I knew who went to school with my kids were whiter than I am.
There was a lot of trade and seafaring interactions between southern India and yemen and oman