Actually No .
There are 130 000 ethnic Koshuris in Azad Kashmir. They are mostly concentrated in Neelum Valley, the northern part of Azad Kashmir, and in the Haveli district in the Poonch division.
However it is worth mentioning that there are over 350 000 Koshuris in Pakistan outside of Azad Kashmir, mostly in Punjab.
If you count ethnic kashmiris outside of valley, thier are way more kashmiris in Pakistan than even the valley itself
Something like US where Thier are more Irish in US than Ireland itself - but would people call jfk, Joe Biden Irish? - would Usman dar and dozens of others northern, central punjabis politicians, sportsmen, intellectuals etc
They don't follow kosher culture anymore but it's not like they wanted to leave thier motherland
Hindu and Sikh rulers brutalities, soul crushing taxes, massacres drove out kashmiri Muslims into Punjab - they're victims of oppression where they had to leave thier motherland
They are kashmiris as anyone, it's not migration, it's brutalities that pushed them down south- recognize that people
Just like how British drove out Irish from Ireland- for Irish their brothers in America are just as Irish as them, for Irish -americans they hated the British, historically supported the IRA, were proud to be Irish