Their influence in India is directly proportional to the money they put in the Indian economy, which basically means the influence exercised by the Chinese government. The lesser the Chinese influence, the better it is considering the current state of India-China relations. Ambani's money is definitely not fueling a known Indian adversary.
You have a fair point regarding not fueling a known adversary. I'm not sure about the influence part, as they have very far from a controlling share in the Indian investments I'm aware of. There is HDFC Bank, but their the Chinese share doesn't exceed 2%. Dubai I think has a larger share than the Chinese.