Go tell the developers like N_Taii that their games aren't NTR, they'll laugh at you. Games like Scars of Summer? Not actually NTR according to guy that self-admittedly doesn't like the tag and probably doesn't engage with it.
Don't just google the word, you'll get a literal "definition" that is removed from the tag. For better or worse, this type of content is a staple of NTR as a genre. Your real life example ignores context like the depiction.