There's no other option, though. If you aren't integrated into the distros' builds, then you have no way of getting your binary updated when a dependency makes an ABI-incompatible change -- much less shipping a single binary that works across all distros. The only reasonable option is to determine a subset of your dependencies which offer long-term stable ABIs, dynamically link those, statically link the rest, and hope for the best.
I'm not sure how per-distro (or distro-version) builds fix the problem, unless you're committing to continuously produce new builds for future distro versions to account for ABI changes. If you can do that, you can also fix issues with static linking if/when the come up.
