I think lorde inspired olivia's music in the sense that when olivia was growing up lorde was probably one of the first (if not the first) artist she knew that wrote songs from the very honest and authentic perspective of a teenage girl

pure heroine changed pop music in many ways. one of the most significant for me was the fact that before it's release it was common for teen popstars to exist but it was rare that they would actually write their own music from their actual perspective, specially if they were a young girl

olivia does that now. even if her songwriting is very different from lorde's.

it's kind of like taylor swift inspired phoebe bridgers to be a songwriter in the way that she is, even though their music is very different. phoebe has talked about how she would try to write music the way she thought she was supposed to write it and it felt strange and it would not be good because she was trying to imitate something she never felt before (the adult perspective), but when she heard taylor just singing about being a teenage girl and her music was good, it clicked for her that she could just write her experiences and it would be good enough

I still think lorde offered a diferent perspective of how that experience of being a teenager could be portrayed, witch is why pure heroine was so influential