ΔE 15.9, loose: different enough that you should pick on purpose. Elysian Green is a little lighter, more saturated, cooler than Field Green FS 34097.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Elysian Green is a little lighter, more saturated, cooler than Field Green FS 34097.
The same difference applies the other way round: Field Green FS 34097 is a little 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 Field Green FS 34097 on the colour wheel See Elysian Green on the colour wheel
All matches: Field Green FS 34097 equivalents · Elysian Green equivalents