zero is defined as the additive identity in Julia. This is a unitful quantity, hence no need for zerounit.
Originally, Julia had just one (multiplicative identity) and zero (additive identity). But then people started mis-using one for unitful quantities to get the unit (julia#16116), so we introduced oneunit to disambiguate. There is no similar need for zerounit.
See also Revise `zero` and define `zerounit`? · Issue #24853 · JuliaLang/julia · GitHub and Change `one` to `onemult` · Issue #36103 · JuliaLang/julia · GitHub for related naming discussions.