As a lifelong poly person the concept of NTR never made much sense to me. That, and I don't speak Japanese
Maybe we could get better clarity by using English terms...
cuck: MC is cucked by NPC, whether or not MC is present
bull: MC cucks NPC
rival: MC has to win the affections of an LI from a rival NPC
voyeur: MC watches other people have sex
3p: Player is shown sex scenes between NPCs without MC present, such as when a love interest remembers past adventures
cheater: MC cheats on a partner without their knowledge or consent
cheated: Partner cheats on MC
sharing: MC consensually shares a partner with a non-partner
shared: Partner consensually shares MC with other partner
triangle: Two or more of MCs' partners have sex with each other (there's probably a better term that could be used here)
Did I miss any?
I'm not sure if cuck and bull should be used as broadly as I have them here, since a lot of people think of cucking as specifically having the non-participant in the room watching, so maybe there's a better English term for when a love interest has a scene with a someone who is not the MC and not another love interest.