Maybe I have not been clear, so let me clear some confusions you seem to be having. I wasnt talking about Kashmiris in an ethnic sense, I was talking about them in a geographical sense. To me Kashmiris are people living in the part of the Kashmir Valley, not people who have ancestral roots there, or lived there once upon a time and now have nothing to do with it. My ancestors belonged to Lahore before partition, but that does not make it such that I get to have a say in the political future of Lahore anymore, since I dont live there, pay taxes there, or have anything anymore to do with the place. So yes, you and the Mirpuri guy do not count as Indian Kashmiris in my book, what you do with Pak Kashmir I could care less about.
As for the disputed part, well you are correct if we were living in 1947 according to the British Partition Plans, where all states except Bengal and Punjab were to join either India or Pak or stay independent. But then again, The whole state of J&K was supposed to stay independent, until a invasion was plotted by the then GoP, not to mention subsequent wars and still ongoing terror tactics. So yes, a lot of things have happened since 1947, most of it initiated by Pak, so your views are no longer relevant today in my opinion.