Yes, I experience similar issues, as does some others: HomeKit devices stopped working after iOS update (devices not responding) - #10 by Jimmy_Berglund
Not sure if it got something to do with my Proxmox setup, or if it is strictly an iOS/TVOS 16 issue. I did try and add advertise_ip in the configuration setup to check if this will make any difference…
homekit:
- name: HA_Bridge
port: 51827
advertise_ip: 10.0.1.105
Might be related, or not, but I am having difficulties adding family members to the newly configured home in Homekit.