Game of the year. Also, if it didn't have the RNG component, it would be a worse game. A puzzle game that inherently prevents you from stubbornly blundering down one thread is genius design, the fact that the house forces you to look at rooms you aren't looking for leads to so many natural "aha!" moments and encourages you to be actively tracking multiple story/puzzle threads at once.
So few puzzle games care about also being good games, and I can confidently say that if Blue Prince didn't have the excellent roguelite-inspired gameplay loop at its core I'd have dropped it without even giving it a chance. Giving you "stuff to do" as you process the lore and puzzle hints is the secret sauce. The game's themes of inheritance tie in perfectly to the strategic mastery curve of learning how to influence the manor. Having a source of "payoff" emotions other than "solving a puzzle" keeps the moment to moment gameplay fresh, and if you're playing it for long enough that stuff like allowance tokens and stars stop feeling like rewards, you'll also have access to so many luck-mitigating tools that I can confidently say it's a skill issue if you're still fighting the drafting system.
The natural progression from "the objective is to wrangle the house into giving me what I KNOW i want" to "the house is just like this, and I can search it to find new things to want" to "I know how to make this house sing" is perfectly executed ludonarrative harmony. You learn the rooms so much better when you're forced to walk through them on consecutive days. Upgrades and rarity tweaks give you so much power. The drafting system isn't a barrier to you solving puzzles. It's a strategy game that you can be good or bad at. And a lot of people that are frustrated at that system's existence are refusing to treat it as something you can get good at. It's a Dark Souls boss fight - practice with intentionality, explore solutions and ideas, fail frequently, learn from failure, be rewarded with mastery.
People just aren't receptive to the idea of "challenge" in a game that isn't precision timing or stat sheet optimizing. The house mechanic of Blue Prince is a relatively challenging strategy game, and part of the challenge is recognizing how to interface with it at all. A lot of people come to the game ready for challenging puzzles but not a strategy game, and for those BP will feel like "RNG getting in the way of my puzzle solving". That's fair, but I'd liken that attitude to coming into Elden Ring and complaining that all these boss fights are in the way of the lore. Strategy games might not be your thing, and maybe you didn't know BP would be one, and that's okay. But for those that like challenging strategy games and intricate puzzles, there's nothing quite like Blue Prince.