This had me worried, so I took a quick look at as far as I can tell Pyblish should work just fine with 2022, Python 3 and all!
PS C:\Users\marcus> rez env maya pyblish_base pyblish_lite pyblish_qml pyqt5 python-3 bleeding_rez
You are now in a rez-configured environment.
resolved by marcus@Fractal, on Tue Apr 20 12:20:17 2021, using Rez v2.40.4
requested packages:
maya
pyblish_base
pyblish_lite
pyblish_qml
pyqt5
python-3
bleeding_rez
~platform==windows (implicit)
~arch==AMD64 (implicit)
~os==windows-10 (implicit)
resolved packages:
PyQt5_sip-12.8.1 C:\Users\marcus\packages\PyQt5_sip\12.8.1\os-windows-10\python-3.7 (local)
arch-AMD64 C:\Users\marcus\packages\arch\AMD64 (local)
bleeding_rez-2.40.3 C:\Users\marcus\packages\bleeding_rez\2.40.3 (local)
maya-2022.0.0 C:\Users\marcus\packages\maya\2022.0.0 (local)
os-windows-10 C:\Users\marcus\packages\os\windows-10 (local)
platform-windows C:\Users\marcus\packages\platform\windows (local)
pyblish_base-1.8.8 C:\Users\marcus\packages\pyblish_base\1.8.8 (local)
pyblish_lite-0.9.0 C:\Users\marcus\packages\pyblish_lite\0.9.0 (local)
pyblish_qml-1.11.5 C:\Users\marcus\packages\pyblish_qml\1.11.5 (local)
pyqt5-5.15.1 C:\Users\marcus\packages\pyqt5\5.15.1\os-windows-10\python-3.7 (local)
python-3.7.3 C:\Users\marcus\packages\python\3.7.3\platform-windows\arch-AMD64 (local)
> $ maya