Actually it seems according to the issue that TigerBeetle (one of the bigger zig projects out there) noticed this issue [1]. It's also on their issue tracker [2].
The problem is, of course, you almost certainly didn't test anything near 100% and probably not even everything users may do with your software, so it's a risky bet.
Now that can happen with every compiler but using one in still in alpha significantly increases the risk.
Conversely, taking on a dependency prior to its 1.0 just means you're on the hook for dealing with API changes as they come up. But as long as the API you expose doesn't change, it's fine to be on 1.0 yourself.
[0]: https://github.com/ziglang/zig/issues?q=is%3Aopen+is%3Aissue...