Hate to be a pedant, but that's really not what "zero cost abstractions" means. The idea behind those is that you get a cleaner interface to some gross machine functionality/OS API/etc. layer, but don't pay a performance cost vs. using the gross lower-level layer. E.g. Rust's Option, unlike C++'s std::optional.
What you're thinking of is "no runtime" or "lightweight runtime", which does often mean "no garbage collector".