ΔE 19.7, loose: different enough that you should pick on purpose. Grunge Brown is noticeably darker, much more saturated, warmer than Seven Pillars of Wisdom.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Grunge Brown is noticeably darker, much more saturated, warmer than Seven Pillars of Wisdom.
The same difference applies the other way round: Seven Pillars of Wisdom is noticeably lighter, much 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 Seven Pillars of Wisdom on the colour wheel See Grunge Brown on the colour wheel
All matches: Seven Pillars of Wisdom equivalents · Grunge Brown equivalents