ΔE 15.5, loose: different enough that you should pick on purpose. Nomad Flesh is a little lighter, much more muted than Amaranth Red.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Nomad Flesh is a little lighter, much more muted than Amaranth Red.
The same difference applies the other way round: Amaranth Red is a little darker, much 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 Amaranth Red on the colour wheel See Nomad Flesh on the colour wheel
All matches: Amaranth Red equivalents · Nomad Flesh equivalents