Funnily enough, CursedByAll is right, that is not how I define NTS
I think he is absolutely right, we do know and understand the western terms, and I think the differences between what constitutes NTS and NTR are very blurry at best.
I for one like sharing, a lot. But I always understand sharing as in being a participant. For me, what you describe as NTS is cuckolding, and I do not like that, and I see it closer to NTR, except that it doesn't have the humiliation part.
So yeah, to go back to the point, this is a list of western sharing games, we would all do well to use the western terms (and I know because I have done that myself that it is sometimes easy to revert back to NTS / NTR thinking that we all share the same definition, when it is clear we don't).
I think there is no confusion possible if one says "sharing without cuckolding", or "sharing with cuckolding", or "hotwifing", or "swinging". These terms are much more specific than "NTS".