Problem: As stated, persists no matter what software you try (Logitech Gaming Software, Logitech HD 922 Camera App, Logitech G-Hub).
Issue: The camera has a firmware bug that prevents zooming.
No, seriously, it does.
There is no fixing it since there is no firmware update utility. Seems to affect "newer" cameras, as the "older" / original cameras don't have this problem.
Solution: If the Logitech HD 920 Camera / Logitech Settings app doesn't work, just give up and get a C922.
No, really, just do it. Don't waste your life trying to fix it. Not
only does the C922 not have this problem, but it is correctly recognized
by the legacy Gaming Software (v9).
Important note: The Logitech page is idiotic and will state "There are no Downloads for this Version. You must select an OS from the little drop-down at the left:
If you have no other choice, you can use Logitech Capture to process the camera feed on-the-fly to emulate zooming. But it is a clunky workaround.