ΔE 20.1, loose: different enough that you should pick on purpose. Azurite Hue is noticeably darker, more muted, warmer than Arctic Gem.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Azurite Hue is noticeably darker, more muted, warmer than Arctic Gem.
The same difference applies the other way round: Arctic Gem 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 Arctic Gem on the colour wheel See Azurite Hue on the colour wheel
All matches: Arctic Gem equivalents · Azurite Hue equivalents