I understand the benefits of dynamic linking (old code can take advantage of library upgrades automatically, it's more space efficient), but it definitely has downsides, especially in the heterogeneous Linux ecosystem. It makes it difficult to distribute a distribution-agnostic binary that "just works" and makes a previously working program more likely to break due to a system upgrade that breaks backwards compatibility or introduces regressions into a shared library.
Given these disadvantages, why does dynamic linking seem to be so universally preferred? Why is it so hard to find statically linked, distribution-agnostic Linux binaries, even for small applications?