I'm not sure if I got your question right, but thr 1st Lloyd—the arrogant one, wished when he was being reincarnated that maybe he cpuld be someone the everyone is glad to meet. Where in the furst few chapters, the messenger mentioned to the 2nd Lloyd—Suho that he has a wished that transcends all space and time that's why he's there.
Basically, the world choose to put him in Seoul and give him a hard life to train him to be the person he wants to be—hard working, resilient and intelligent. So that once he became that kind of person, he's ready to live his life in his original world with better decision makings. All of these he's unaware of
I mean, this is a pretty reductive view, just because it's basically the same soul reincarnated, it doesn't mean it's the same person. They have no memory or awareness of being each other's reincarnation and they even exist at the same timeline at one point which makes it clear they're 2 distinct individuals.
Humans are the sum of their experiences, thoughts and actions and both of them have had completely different lives that made them who they are. If I got reincarnated as a dog that doesn't mean because the 'soul' is the same the consiousness, the brain and ultimately the 'person' is, I'd be just another average dog. Suho is still Suho, he just was the actual Lloyd in his previous life. Which doesn't really make any practical difference to him, it's just for the story and for it to make some more sense he was suddenly isekaied like that
I feel like making Suho stay as Lloyd doesn't make sense.
He was just born in the wrong world and the characters liked Suho for himself, even if he wasn't Lloyd. It was a great deal before for Javier to be the only person to know that Suho was Suho because it meant he knew who Suho truly was, he knew he wasn't Lloyd, he knew Suho lied to everyone about it, and still decided to trust Suho.
Suho himself knew that he wasn't Llloyd and was lying to everyone, and was afraid of them discovering the truth.
I mean, a huge deal of his character arc was his fear that he wouldn't be confident and liked if he wasn't in Lloyd's body. Him realizing that it wasn't being Lloyd that made him amazing, but that Suho himself was always amazing was a huge deal. So why did they make this nonsense of him always being Lloyd and staying as Lloyd???