The only difference is that the exact definition of offensive content is not clear.
I think may be slightly off here. Some cases of copyright violation are quite blatent, but many others become tricky.
Music companies have been known to file DMCA complaints over content that their own PR-branches filed for publicity. Other times there is the question of derivative work and whether it is fair use, authorized, or in violation. For that matter, when talking about older works, something can be under copyright in one country but in the public domain in another, depending on their copyright term.
In contast, with the question of what is offensive, it matters greatly on who you ask. All but the most banal and obvious facts will likely offend someone.
The best they could do is to send notifications to the email address set in Google's Webmaster Tools. This way notifications may be received by at least the webmasters that are aware that their content may get banned.
The worst part about this is that this creates yet another precedent. So Google threatening to pull out of China and then moving to Hong Kong was all for nothing if they end up censoring websites in India.
Edit for downvotes: I'm against takedown requests. I'm extremely disappointed that Indian govt. is taking such a narrow view. I'm genuinely interested in knowing how these requests are different from DMCA takedown requests.