Yeah, but in these 2 time lines, 2 different creators create the same sword, that sounds unnatural.
BTW, speaking the Divine Dragon Falls, the shrine in Lost Sanctum has the ability to merge 2 gemstones into a more powerful gemstone, just like in CC, tear of hate and tear of love merged into the Chrono Cross.
Mabye in CC time line, someone might want to do something to those 2 swords there...