Molecular genetic evidence is suggesting that C. lanceolata and C. konishii are the same species, and that the C. konishii of Taiwan derive from multiple colonizations from C. lanceolata on the mainland.
As C. lanceolata was the first name published, this name takes priority if the two are combined. In that case, Taiwan fir becomes Cunninghamia lanceolata var. konishii. However, there is no consensus yet as to whether the two species should be combined.
See Cunninghamia species page.