There is a choice in-game (the only choice actually) where it says "Yumi lies about it (NTR path)" or "Yumi tells the truth (NTS path)", so if the choice tells NTS path, there will be the Netorase path for sure!
I think the issue is more on how the dev understands NTS. From my point of view, if the wife is fucking around, and then telling the husband. that is just a cuck simulator, not proper NTS.
NTS is about sharing. If the husband decides he wants to share the wife then it is NTS, even though there could be discussions regarding how active a participant the husband should be in the sharing.
Take these four examples:
a) husband and wife go to a party, the wife decides she wants to fuck with another guy there, she doesn't tell the husband (to me this is not NTR, it is cheating, as NTR requires a component of humiliation or denial of sex)
b) husband and wife go to a party, the wife decides she wants to fuck with another guy there, she tells the husband after the fact (to me this is NTR, however many devs call this NTS)
c) husband and wife go to a party, they have discussed previously that the wife could/should fuck another guy for the husband's enjoyment, so she does it with his encouragement. the husband may witness the act itself or not, and later they talk about it, preferably while they have sex themselves (this is NTS, even if not my preferred kind)
d) husband and wife go to a party, they have discussed previously that the wife should fuck other guys, once there, the husband takes the wife and encourages a threesome with another guy, the three of them fuck and the husband is an active participant in the sex scene (this is proper NTS in my books) .
So I think what the other poster was talking about was that the way the description is talking about the choices will probably be between options a) and b) up here. Your comment regarding the wife telling the husband or not seems to reinforce that view.