It may not have a public* release but, over the last decade (starting pre-Zig/Odin), Blow has discussed it extensively in his videos[0], enough that even ~10y was possible for someone to make a toy independent implementation[1].
[0]: https://inductive.no/jai/ [1]: https://github.com/Sharir/jai
*Although there has (always?) been a private alpha/beta release.
Still then, it's a stretch to say that Jai influenced other languages. How could it when only a handful of game-centered applications have been built by a handfull of devs?
Rust and Zig developed features by cutting their teeth on large amounts of real software, not by following one guy's personal project that has no source, no library, no spec available.