Interesting problem, but in my opinion,
orthodox h#n (with orthodox pieces and without fairy condition(s)), h=n, h==n, even hs#n, hs=n, hs==n are different parts of the same group : ORTHODOX HELP GENRE
The only explanation I see why h=n is actually considered as fairy is because the mate is the goal in a chess game (with antagonistic play ! )
But it is a little ridiculous when you see the position of an orthodox helpmate, it has very few chances to appear in a chess game.
Interesting problem, but in my opinion,
orthodox h#n (with orthodox pieces and without fairy condition(s)), h=n, h==n, even hs#n, hs=n, hs==n are different parts of the same group : ORTHODOX HELP GENRE
The only explanation I see why h=n is actually considered as fairy is because the mate is the goal in a chess game (with antagonistic play ! )
But it is a little ridiculous when you see the position of an orthodox helpmate, it has very few chances to appear in a chess game.