Andrix Yesterday i was in the same situation, the update is not available both for macOS and iPhone.
The iOS/iPadOS v2.2.2 Beta that I was testing earlier (apparently not available in general) was Build 4. The current Beta (shown in your screenshot) only appeared in the past 24 hours, and is now Build 6. The firmware has also changed between these two Beta builds, not just the iOS app itself. These TestFlights also work on macos that has the "M" series processors.
I think ZWO has been pushing early Betas (like the v2.2.2 Build 4) to serious Beta testers in some list that they maintain (e.g., people have been on the look out for new bugs -- it is possible that it is the list of people listed in the "ASIAIR Dream Partners" window in the ASIAIR "About" window).
The "public beta" (such as v2.2.2 Build 6) may just be intended for non-testers who only wanted bug fixes from a previous version.
Speaking of the ASIAIR "About" window, I just noticed that there is now a "Reset Firmware" function in there to revert to the original factory firmware, instead of having to hold the reset button for more than 5 seconds. Really should be in the main ASIAIR Settings page.
Chen