Non-technical detail reasons not to:
1) the gain is too small to be useful. Its still too slow for a synchronous poll in an IDE/editor or something so anyone concerned about latency will spawn a thread or process to asynchronously check the status. Now if we were going from hundreds of ms to tens of us... but we aren't.
2) the gain can be expressed in years of hardware evolution "just wait X years and your faster mass storage will naturally speed up enough...". vs the time it would take to implement bulletproof code. Better off just waiting for faster drives. Simple code on fast drives beats complex code on slow drives.
3) speaking of faster drives, $$$ can be turned into speed in a pretty smooth interchangeable market of professionals and exotic hardware. This is extremely well developed and widely understood. Pop in a SSD, parallel off the NAS, whatever. Practically nobody knows how to troubleshoot the git enhancement. Best of luck, as an overall lifetime system cost on a large scale its going to be an extremely expensive way to gain performance compared to slapping in a SSD.
4) The larger the code is the more complex it is and the fewer people can understand it. Industrial revolution dogma about specialization doesn't work in code. So outside the new feature, the rest of the code will suffer because the bar will raise that much. Simplicate and add lightness.
Some of the technical reason workarounds are missing "fun" scenarios like some madman has a git repo spanning multiple filesystems so you can't just check the repo root directories capabilities you have to traverse the whole repo tree (ugh) or there's a backup-restore cycle where the filesystem type changes (maybe as part of a hardware and OS upgrade?) or there's layered filesystem problems (stored on ext3, but exported via an obscure userfs or networked file system). Also caching must be hilarious, doesn't NFS have mount option timers like acdirmin acdirmax and noac that mess with when mtime is updated, so two clients on the same NFS mounted dir could react differently based on wall time the command is run, LOL that one would be fun/hilarious to troubleshoot.