no shared lineage. Cura and Kiri started around the same time (2011/2012), but as completely separate projects. Cura is a C++ desktop app and Kiri has always been 100% browser-based (no cloud, all computation in the browser sandbox). the licenses are different, too. Cura/Prusa/Orca are GPL based and Kiri is MIT.
I'm not talking about Kiri; I'm talking about the mainstream derivatives of Slic3r.