ΔE 22.6, loose: different enough that you should pick on purpose. Warlord Purple is noticeably darker, more muted, warmer than Medium Magenta.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 23). Warlord Purple is noticeably darker, more muted, warmer than Medium Magenta.
The same difference applies the other way round: Medium Magenta is noticeably lighter, more saturated, 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 Medium Magenta on the colour wheel See Warlord Purple on the colour wheel
All matches: Medium Magenta equivalents · Warlord Purple equivalents