It's not necessary to savescum or reload for events. Lambda did that because he was trying to break a record and he was very clear what rules he would be playing under.Do people speak about the current setup when speaking about WCs, or Ironman in the last couple of versions of the game? I think the OP is not asking about what happened in 2015, or reloading a game 500 times until you get the right kind of events you want.
The only RNG that really can make an impact on your game is monarch points, especially in the early game. A nice 5/4/5 ruler or so can really make the difference in the early game compared to a 1/2/1. You need mil points to win harder early game wars, admin points to core your initial expansion and to stay ahead on innovativeness (which reduces all power costs).
Later on in the game you're rich enough to run level 5 advisors all around and you're already stronger than everyone.
There are certain starts I would probably restart until I got what I wanted. I.e Saluzzo can annex an excommunicated Savoy (by calling in Burgundy) almost immediately. Sometimes early game diplomacy is legitimately horrendous too. But otherwise, no, you don't need lucky events, Burgundian Inheritance, Emperorship or anything like that to do a world conquest, they're just bonuses.
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