However in the US the word 'state' is overloaded, so 'nation state' is used. It's confusing, because 'nation' is sometimes used to mean 'country' (which is how it's intended in 'nation state') and more traditionally used to mean a people with a shared language and history.
And the French and the Brits have/had a lot of "nations" which are part of their "nation" and which thus are not "nation states" of their own. For example, Scotsland (and even technically Britain itself) are both nations that are themselves part of the nation-state that is the U.K. For the French, it gets a bit more complicated, since they have a number of territories which are nominally sovereign but are legally subordinate to the French government in Paris (like Tahiti).
Also, it's my understanding that the main island is Britain, and that "Great Britain" includes the smaller outlying islands, but not the island of Ireland.
Meanwhile, does "nation state" apply to the Plurinational State of Bolivia?
"Nation state" seems to be a thing because state alone could be confused with the 50 US states.
With nation state the focus is on the institutions and leadership, with country the focus is on land and ordinary people it seems.