Thing is, they did have their own narration and internal monologues, which were cut when people complained and we got Amelia Tyler instead (who is great, but it's a massive change to a core concept of the game.) The unique Daisies are another reason why the origin system seemed to exist, but they got cut, too. The characters making bad decisions (hello, Gale) also seemed to be a point for playing as them to see what'd happen, why they did things, etc... but they cut those, too!

So, ultimately, I agree. It feels very strange to play as Lae'zel if you like Lae'zel because you get... less Lae'zel. I don't really see the point of the whole origin system, as of release.