ΔE 16.5, loose: different enough that you should pick on purpose. Seven Pillars of Wisdom is much more muted than Violent Vermillion.
Can I use Seven Pillars of Wisdom instead of Violent Vermillion?
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Seven Pillars of Wisdom is much more muted than Violent Vermillion.
Can I use Violent Vermillion instead of Seven Pillars of Wisdom?
The same difference applies the other way round: Violent Vermillion is 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.