Other libraries are the problem, usually. People are generally really good about changing the .so version of a library when the ABI changes in a backwards-incompatible way. Usually distributions ship both versions until everything they ship either has upgraded or been removed. Solutions like appimage can allow you to ship these libraries in your app.
https://blogs.gentoo.org/mgorny/2024/09/28/the-perils-of-tra...
Of course, if you did need to support this case, you don't need to throw the baby out with the bathwater necessarily. You'd just need a _TIME_BITS=32 build of whatever libraries do have time_ts in their ABI, and if that blog post is any indication Gentoo will probably have a solution for that in the future. I like the idea of jamming more backwards-compatibility work into the system dynamic linker. I think we should do more of that.
In any case, this issue is not a case where glibc broke something, it's a case where the ABI had to break. I understand that may seem like nitpicking, but on the other hand, consider what happens in 2038: All of the old binary software that relies on time_t being 32-bit will stop working properly even if you do have 32-bit time_t shims, at which point you'll need dirtier and likely less effective hacks if you want to be able to keep said software functioning.
Someone comes along and builds their software on the latest bleeding-edge Linux distro. It won't run on older (or even many current) Linux desktops. People curse Linux ABI instability because new binaries aren't supported by an older operating system. It is in fact the opposite to the Windows situation, in which older software continues to run on newer operating systems, but good luck getting the latest Windows software to run on a Windows 95 desktop. People are very quick to conflate the two situations so they can score more fake internet points.
The situation is not limited to desktops. For example, a very popular commercial source forge web service does not work on browsers released more than about 10 weeks ago. The web itself has become fantastically unstable and almost unusable for anything except AI bots consuming what other AI bots spew.