Very interesting that some other games the culture lead has only half as much culture. I hate rng like this.
Am sure there is a lot of rng involved. But, in culture games it is also very important to ally with culture CS early, mostly to deny AI extra culture. I stole 2 techs with my first spy, leveled him up and used him to coup cultural CS. Also, threw a lot of gold to maximize the success of coup. I took 2 cultural CS away from Indonesia and 1 from Portugal at about late renaissance. I preferred to use my spy for coups even though I was behind in tech.