Bhai sahib you are doing a great disservice to history, an honest interpretation is important. Taking few irrelevant examples to conjure a non existent reality does not make it true. Any factual history has to be based on ground realities, on a set of parameters for it to exist and be recognised. That is not the case regarding this topic, a historical Indian nation, it cannot be based on the naming of spices.
Your argument is extremely weak, allow me to highlight why. Indian fantasies are one thing, but what's worrying is that Pakistanis lot fail to assess history with due merit, that's sad, and without realising they hurt themselves.
You cannot base a historical nationhood, based of few odd facts, the Muslims were known as Saracens to the European Christians, are we Saracens or Muslim?, the Christians of Europe were known as Franks, Are they Franks or do they have their own identity? Terms used by others do not not mean anything because you refer to a grouping according to your own understanding at the time. First and foremost, Identity is self created, not created by others, that's an essential element.
To claim a historical nationhood there had to be home grown "NATION" covering the claimed territory, that has never happen in 5000 years of Indian/South Asian history, baring few decades. By taking the name "India", history has been muddled, the difference between a regional historical has been confused with a history of a nation.
The Europeans have a 1000 years of Roman rule, under which they had a unified government and administrative structures, unified currency and a unified language, that language still influences modern day European languages, but the Europeans are not silly enough to claim a historical nationhood.
The Arab world actually had everything that makes a nation, unified religion, language that survives to this day, culture, unified rule and so on. They followed the process of evolution where the Berbers identity became secondary to Arabic identity, but they do not cry about a lost and a fantasy filled imagined Arab Mata, because they don't behave like children and accept modern realities.
In India even without a historical basis, they still constantly cry about an imagined bharat mata that never was, and people like you seem to accept this blind fantasy, that's truly sad.
Identity is not a pre-formed package, it is formed over time with set of shared values, of which language is paramount, amount other factors. A Bengali or a Punjabi or Tamil or Marathi did not wake up one day and decide we are going to be Bengali or Tamil, they have shared set of experiences that gave them their singularly different food, culture, festivals, and language, an distinct identity, that happened because each of those are nations, and the neighbouring people followed their own path and created their own identity, that is what makes people different, distinct nations.
In China you actually have a history of Sinicisation, where over millennia, they made tremendous effort to create a Chinese identity and today more then 90% of Chinese identity as Han Chinese. That process never happened in South Asian/India, which was always a region, never a country. There was never a demand for s singular national identity because it did not exist in the minds of the people. The Hindu identity is a modern reality, historycally people followed a Santana dharma, following different gods in different area, the formulation of that identity as Hindus is very much a modern concept.
There a historically region of India, please do not confuse that with nationhood, there is a vast difference. You do yourself injustice by blindly accepting loose facts to create a vast reality of nationhood that never existed, that is historically incorrect , and intellectually unfair.
The sad thing is that many unaware among Pakistanis have accept these fantasies without fair judgement.