>No, but if you call that pizza something like Pizza Kalari would it then be wrong to say that Pizza Kalari is an Indian invention?

I already answered your question in the next line in my comment -- There has to be some reasonable limitation on how little you modify something before you get to call it a new "invention".

Besides, no Indian would feel the need to do that because, unlike the British, we are quite comfortable in our culinary identity. And most Indians would not respond well to such marketing. In fact, things like Pizza and Burger fill pretty much the exact opposite niche in India where eating very crappy versions of these western foods seems to have an aspirational value to it.