I don't think that the linking semantics make much of a difference in what you should do with your source. Rust is, in fact, usually statically linked as well. Dynamically linked Rust crates are supported, but are uncommon in practice. (The most common use cases for dynamically linked Rust crates at the moment are compiler plugins and embedding Rust into other languages.)
For a dynamic library you need to ensure your source will work with the version range the package manager allows to be installed. Which may or may not be the most up to date version.
Subtle things in dynamic linking may break applications when dependency versions are changed.
Static linking lets you bundle whatever version is known to work, including the most up to date versions.
