ΔE 16.1, loose: different enough that you should pick on purpose. UK Light Stone is noticeably darker, warmer than Hammerfall Khaki.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). UK Light Stone is noticeably darker, warmer than Hammerfall Khaki.
The same difference applies the other way round: Hammerfall Khaki is noticeably lighter, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Hammerfall Khaki on the colour wheel See UK Light Stone on the colour wheel
All matches: Hammerfall Khaki equivalents · UK Light Stone equivalents