ΔE 15.7, loose: different enough that you should pick on purpose. Sun Yellow is a little darker, much more saturated, warmer than Bronze Shadow.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Sun Yellow is a little darker, much more saturated, warmer than Bronze Shadow.
The same difference applies the other way round: Bronze Shadow is a little 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 Bronze Shadow on the colour wheel See Sun Yellow on the colour wheel
All matches: Bronze Shadow equivalents · Sun Yellow equivalents