LG OLED X series have Instant Game Response aka Auto Low Latency Mode aka Automatic Game Mode. If you own Xbox, every time you launch a game, the TV will set Game Mode for you, and if you switch back to any other non-gaming app, it'll revert you to non-gaming mode.
Another thing, I would use Automatic Filmmaker Mode all the time, but please do check if there is any interpolation added in there. I no longer own an X series OLED but I was reviewing a GX model this year. As far as AI is concerned, it gives you Dolby Vision IQ (it is not named as such in menus) which boosts image brightness adaptively which is nice if you watch the TV in broad daylight, but in a dark room, you'll lose the cinematic qualities..
I'd also suggest following RTINGS religiously. By the way LG OLEDs need very little actual calibration and those presets of theirs are extremely high quality. Just pay attention to smoothing options, black levels and activate Ultra HD Deep Color. You should be fine as long as you stick to RTINGS.
I would've helped you more but currently I'm testing yet another TV in my living room and my OLED is at my daughter's room and she's now sleeping. It's hard to be super precise when talking on top of your head.