I turned on my Apple TV on my TCL Roku TV and I noticed there was a half a second input delay, I thought it was the Apple TV but I wasn’t, I tried my PS4 and Nintendo Switch and all got the same results, half a second delay on everything I do. I always had game mode off and this didn’t happen before.
Try changing the audio settings for the tv. It seems that when Dolby digital/DTS, or just Dolby digital is selected, there is input lag.This happened to me also starting the other day. Turning on game mode also seems to fix the issue (but degraded image quality). I hope this gets fixed soon!