Must chess studies be composed? My question is on the definition of the term "study." If there is an interesting endgame position that occurs in a real game between two real players, and the position is later posed to somebody who has not seen the game, would it be technically incorrect to call this a "study"?

The Wikipedia page seems to suggest this terminology as technically incorrect, but to me it makes the most sense to differentiate "composed studies" from "studies." I'm happy for any input.
There are a number of rules for what constitutes a proper problem / study which are extremely unlikely to be satisfied by a position arising in a real game -


there must be only one solution
there must be no superfluous pieces - i.e. if any piece is removed then the solution no longer works or is no longer unique


Sometimes positions arise in a game which come close, usually when there is only one solution which is also rather difficult. Then the position is called "study like" but usually not all pieces on the board are essential.