I doubt it. The supermarkets in West Bengal, for example, have security because there were riots when they first came to the state (which is not that hard to believe if you compare them to Wal-Mart in the US). Ditto for the hotels (2008 terrorist attacks) and the temples and mosques (decades of Partition-related violence). India's focused on developing its economy, but not in the way that private institutions (or a budget-aware government) would actively spend money on security theater just for that purpose - especially not when there actually are real security threats afoot.

It's just like the US - the problem isn't that people don't care about security, or that they don't recognize it's a concern. The problem is that the existing measures (like the TSA) don't seem to be paying proper attention to the problem.