I only read their homepage (https://asahilinux.org/) - it says "The Asahi Linux alpha release is out!". If there was another (more stable) release available, I assume they would mention it there.
That version is majorly out of date, their website indeed does not mention how out of date it is (that said I have no idea as to whether the devs consider the latest releases stable/RC).
Right... actually, according to their latest blog post (from beginning of August), they expected to release the "Fedora Asahi remix" by end of August. Looks like that didn't quite work out, but a release (I guess they mean a RC or production release, not alpha or beta?) seems to be imminent...
If you click on that post it goes to an announcement that is more then 1.5 years old, many releases have followed since. That link simply hasn't been updated.