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I doubt the recommendation algorithm is particularly special, the userbase is the more important thing IMO. However, any purchaser would need to implement something decent if they want to maintain that userbase.
Obv without the algorithm TikTok loses some value. However it loses less value than if they just pull the plug.
It’s like Twitter. Yeah, it lost a bunch of value when Musk gutted it, but it’s still relevant today. So if someone less hostile to the core userbase buys it, I don’t think some growing pains from a change in algorithm would kill it.