ΔE 15.7, loose: different enough that you should pick on purpose. Manganese Blue Hue is noticeably lighter, more saturated, cooler than Hoeth Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Manganese Blue Hue is noticeably lighter, more saturated, cooler than Hoeth Blue.
The same difference applies the other way round: Hoeth Blue is noticeably darker, more muted, 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 Hoeth Blue on the colour wheel See Manganese Blue Hue on the colour wheel
All matches: Hoeth Blue equivalents · Manganese Blue Hue equivalents