It seems to me that the devs have screwed around with culture to the point that flipping planets has become rare and unusual vs the domino collapse that it was in earlier versions and in GCII. There is just no strategy to flip planets.
You can still win a culture victory by surrounding the opponent with your influence but it takes a long time and lacks the appeal of flipping planets imo.
I have thought about modding this but I have limited skills and I have more or less abandoned the cultural game.