Yes, it is the same for India.

Who Computes Credit Score?

When you make a transaction—the one that is relevant to determine your score—banks send details about it to all four credit bureaus. To send details to all credit agencies is a mandate by the RBI. Essentially, banks keep Credit Information Companies up-to-date about your monetary habits. If a bank needs to check online credit score, they can approach any one of the bureaus. It doesn’t matter which one because all will have the same score for you– all four are equally authoritative and on par with each other.

From: https://www.bankbazaar.com/credit-score.html