ΔE 24.6, loose: different enough that you should pick on purpose. Phoenix Egg is a little darker, much more saturated than Holy White.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Phoenix Egg is a little darker, much more saturated than Holy White.
The same difference applies the other way round: Holy White is a little lighter, much more muted.
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 Holy White on the colour wheel See Phoenix Egg on the colour wheel
All matches: Holy White equivalents · Phoenix Egg equivalents