Here, for what I hope is comic relief, are a couple of stories about my friend who is of Indian ancestry.
Firstly, as he is tall, relatively light skinned and born here (so no accent), he routinely passes for Mediterranean. He ignores no Indian notices and has never been "caught".
Secondly, he saw a white escort regularly for a couple of years who did know of his ethnicity. After they finally ended their relationship after an unpleasant argument, she changed her ad from "all ethnicities" to "no Indians".