In India's case it's silly to make a comparison.
Why by country? Because that is how we've split the world up for regulating.
When deciding each country's share of that allowed global tonnage, per capita does matter. Other allocations, such as equal amounts per country, lead to absurd outcomes. Here's a comment giving an example [1].
And, while progress has been made, fossil fuels are still by far the cheapest source of energy around, especially if you don't have great expertise. So, in principle, we should be letting the developing nations of the world use much more fossil fuels to power their economies, while those that have been using it for centuries at this point should use far less.
Note that I'm not actually advocating for this, as stopping global warming is far more important than some abstract notion of historical fairness in international politics, which is even more idealistic than world peace.
Unfortunately things look grim when you look at the state of international relations. It doesn't feel like we'll see progress on international carbon pricing anytime soon.
Carbon taxes are irrational and not a viable alternative.