ΔE 17.0, loose: different enough that you should pick on purpose. Deep Grey is noticeably darker, more muted, cooler than WWI German Mauve.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Deep Grey is noticeably darker, more muted, cooler than WWI German Mauve.
The same difference applies the other way round: WWI German Mauve is noticeably lighter, 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 WWI German Mauve on the colour wheel See Deep Grey on the colour wheel
All matches: WWI German Mauve equivalents · Deep Grey equivalents