ΔE 19.6, loose: different enough that you should pick on purpose. Purple Black is a little darker, more muted than Thunderhawk Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Purple Black is a little darker, more muted than Thunderhawk Blue.
The same difference applies the other way round: Thunderhawk Blue is a little lighter, more saturated.
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 Thunderhawk Blue on the colour wheel See Purple Black on the colour wheel
All matches: Thunderhawk Blue equivalents · Purple Black equivalents