K-31 Cheonma uses missiles that domestic developed by LIG Nexone, not VT1. If you look at pictures or videos of the Crotale and Cheonma missiles, it is easy to see that they have different shapes.
Crotale
K-31 Cheonma
Specifications from academic paper
Specifications from official Youtube channel of ROK Ministry of National Defense
Do you know from when the academic paper is? Im asking, because SAHV is listed as 128kg with 6km ceiling and 1998 introduction date. That data is weird.
The specs for the other two non-Cheonma systems are not reliable; we only need to look at the column for Cheonma in this table.
If I remember correctly, this paper was probably around 1997-1998 (yes, that is really old paper), and since this is an academic paper and not an internal military report for a serious performance review, so the paper’s authors relied heavily on what was readily available: Janes.
The South Korean Biho should be divided between the K30 “Biho” and the K30 SAM “Hybrid Biho”. This is because it is an additional variant developed under the enhancement program. Similar to the relationship between Gepard 1 and Gepard 1A2 in the game.
Both variants use the same guns and can use EOTS, but the K30 SAM has several additional improvements, not only in missile capability. The radar’s range has been increased from 17 to 21 kilometers, and it now has a gunner’s thermal (x3.0-x10.0) and LRF.