ΔE 19.1, loose: different enough that you should pick on purpose. Amethyst Rayne is much more muted, warmer than Altdorf Guard Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Amethyst Rayne is much more muted, warmer than Altdorf Guard Blue.
The same difference applies the other way round: Altdorf Guard Blue is much 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 Altdorf Guard Blue on the colour wheel See Amethyst Rayne on the colour wheel
All matches: Altdorf Guard Blue equivalents · Amethyst Rayne equivalents