i have PTZ controls on my NVR4216-16P-4KS2, as below, Running F/W V4.001.0000000.4, Build Date: 2020-07-07
I've only used the zoom in/out + autofocus PTZ function, as i've got mostly varifocal IPC-HFW2831T-ZS-S2, work's without any issues...
and also concur, cat6 definitely supports 802.3at (Poe+)