I've experienced some of my Indian coworkers criticize BLM, which was a bit surprising. I don't know what caste they belong to, though.
Upper-caste Indians basically see themselves as people on top of the racial hierarchy. In many ways they identify far more strongly with British or American elites than with Dalits.
It doesn't really have anything to do with the content of BLM's message, but everything to do with who is saying it, how they're saying it, and to whom.