I have a problem as well. I am unable to connect my LG OLED 55C9 to Homekit. Every time I scan the QR code generated by my TV with the Homekit app I get a message in the Homekit app that adding LG OLED to Homekit has failed. Airplay works fine; I tried with the TV connected wired and through (the same) WiFi network, no result. With other iPhone no result either.
Some Airplay features work, others not:
MacBook Pro: ScreenMirror works, playing films from iTunes works, playing films directly from QuickTime and selecting Airplay to LG TV DOESN'T work.
iPhone: Airplay works with all features