ΔE 30.5, loose: different enough that you should pick on purpose. Dark Turquoise is noticeably darker, more saturated, warmer than Battleship Grey.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 30). Dark Turquoise is noticeably darker, more saturated, warmer than Battleship Grey.
The same difference applies the other way round: Battleship Grey is noticeably lighter, more muted, 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 Battleship Grey on the colour wheel See Dark Turquoise on the colour wheel
All matches: Battleship Grey equivalents · Dark Turquoise equivalents