ΔE 32.8, loose: different enough that you should pick on purpose. Mindcrime Magenta is a little darker, much more muted, cooler than Archangel Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 33). Mindcrime Magenta is a little darker, much more muted, cooler than Archangel Red.
The same difference applies the other way round: Archangel Red is a little lighter, much more saturated, warmer.
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 Archangel Red on the colour wheel See Mindcrime Magenta on the colour wheel
All matches: Archangel Red equivalents · Mindcrime Magenta equivalents