I can't tell you the number of times I've ended up cursing the IT gods while sorting out some hellish dependency / shared-libary-versioning fiasco (and apps that use ffmpeg and other media libraries are especially prone to this), and wished I could have just gotten a statically-compiled binary off of the developer's CI server instead.

Most of the arguments for shared libraries seem like a misplaced optimization on modern systems (e.g. saves disk space, saves distribution bandwidth), or don't really shake out in reality (e.g. "only have one copy of a crypto library so it's easy to update!") and just lead to a proliferation of library versions on the same system.