I have the same opinion as you.
For the whole NTR / none NTR discussion in this forum, not only in this thread. I have the feeling a prominent belief of NTR is: Every woman that the MC could had have sex with them and therefore could also be a love intrest equals to NTR if ecen the possibility of an other men, who could have sex with them. Sometimes even the thinking of the MC "will have sex with gal" are assumend as NTR if the gal have an other love intrest at this time.
I would find this quite amunsing, if this definition would be used in the real world (and also in court...).
For me, to count as NTR, a relationship must be there and both of them also must obivous know about this and also their relationship must be one that count sleeping with other as adultery. In this setup can NTR happen for me, otherwise not.
Used one "The Gift reloaded", I see none NTR - perhaps at the end.
It is very possible to encounter NTR in this setup as the main theme is mind controll and thus even rape is more likely to occure than in other more nice & happy story and setup.
Also if our MC will change some mind of woman, as he have done, if their (e.g. Clara) was in a relationship herself and now like the MC isn't that also NTR in the view of the last boy/girl-friend of her?