> Why did the author of this one choose this approach rather than some other approach? What issues did they see with others that they decided to write their own? What's unique here?

I'm not sure what you mean here. A lot (most?) procedural systems use Voronoi methods for procedural terrain generation, so this isn't some wholly novel solution. From what I can tell (haven't looked into it super deeply), it looks like Lloyd's algorithm is basically a variation of random bisections.