What glibc does not provide is forward compatibility. An application built with glibc 2.12 will not necessarily work with any older version.
Such application could be rebuilt to work with an older glibc as the API is stable. The ABI is not which is why the application would need to be rebuilt.
glibc does not provide ABI compatibility because from their perspective the software should be rebuilt for newer/older versions as needed. Maintaining a stable ABI mostly helps proprietary software where the source is not available for recompilation. Naturally the gnu guys building glibc don’t care about that use case much.
I guess you didn’t mention glibc in your comment but I already typed this out