Depends on the type. Lighter skinned and/or richer Indians are accepted that way, not all.
As far as Hindu Indians being accepted as "honorary whites"
I agree with you but even the dark ones who behave "middle class white" and do well economically are treated as honorary whites. They aren't speaking ebonics and they highly value education, push their children to do well
If you brought in some really dark uneducated Hindus from rural areas ..... Yes they would likely not get the "honorary white" treatment. But I don't see those people in America, they don't immigrate here, I only see them in magazines