For living room gaming PCs, are we telling the TV it's a PC and enabling Game Mode, or are we telling it it's a Game Console (and still enabling Game Mode)?
Game Mode is still an option whether you setup the input as a PC or as a Game Console, but it does handle the input signal differently. I'm not enough of a videophile to describe the differences in how colors are displayed and whatnot, but I do know that the TV exposes different resolutions and refresh rates, meaning there must be some difference between these two options.
For what it's worth, when using this PC with this TV, I am indeed exclusively playing video games. I have a separate monitor that I use for more general "PC stuff." I'm also running Linux, for what it's worth, but I can't imagine that really makes a difference in this context. VRR, HDR, etc. are indeed available in both modes.
Thanks for any input!