Yes hence the all intents and purposes caveat - certainly when Cashmere was discovered/originated nations like Pakistan didn't exist.
1) india, tibet, east turkistan or whatever you call it.
2) kashmir region is in present day india, pakistan and china/afgan? and historically its persia, afgan, mughal india or british india?
3) brits ruled india as well, but we dont call indians brits.
historic facts do come in different flavors.