Any Apple device can be updated to the most recent supported version of its Operating System - for iPad, this being iOS/iPadOS. For iPad Air2, the most recent supported version is iPadOS 15.7.2; the Air2 does not support iPadOS 16.x.
Rolling-back to an earlier version of iOS/iPadOS is not possible.
All System Updates are digitally signed by Apple - and can only be installed whilst the digital signatures remain valid. After release of a new iOS/iPadOS version, the immediately preceding version continues to be digitally signed by Apple - however, usually within a few days, Apple will revoke the digital certificate with which the earlier version is signed.
If Apps no longer work properly following update to a more recent version of the OS, you’ll need to seek assistance from the related App Developer - as only they can resolve issues with their App.
How to contact an app developer - Apple Support
Perhaps consider that iOS/iPadOS updates include both functional and essential security updates. Restoring an earlier version of the OS would undermine the security of your device and your personal data.
For information, Apple do invite submission of comments via its Product Feedback portal. For iPad and iPadOS:
Feedback - iPad - Apple