Wait, are we switching to Matrilineal from Patrilineal?
Kylo Ren would be a "Solo".
Y chromosome comes from the Father. Mother can only contribute an "X".
Unless the Skywalkers are now Jewish, it definitely makes no sense that it would be Matrilineal currently, especially when naming conventions were previously implied in the franchise to be Patrilineal.
I don’t think Salic Law applies to Jedi or mitichloridians.