At this point, I'm not sure the GFN experience would be much different than a docked Steam Deck, or SteamOS installed on an AMD computer. Even when the latter is capable of 4K120Hz HDR, the GFN app is limited to 4K90FPS for streaming (Steam Deck GPUs can't decode 4K120FPS game streams reliably). It's not clear when NVIDIA will rev the Flatpak GFN app to support more on better hardware. Another minor issue, is that the Flatpak GFN app limits surround audio to 5.1 when using capable 7.1 audio systems. On other non-SteamOS Linux, the streamed audio is currently limited to stereo. For anyone considering a Steam Machine only for GFN streaming (which I know does not apply to OP), I'd recommend using SteamOS on a mini PC instead. You won't get HDMI CEC support like on the Steam Machine, but you can configure the firmware on a mini PC to "always turn on when power is applied," and use a device like this to turn it on, without getting off the couch.
Are you wanting the whole thing to light up or to control the individual lights? If you want to control the individual lights it sounds like an Arduino/Raspberry Pi project (you’ll need some logic for the signal switching). Crosspost this to an Electrical Engineering subreddit. They’ll get you pointed in the right direction. Having said that, if you just want to turn the entire thing on/off remotely you can buy WiFi outlets to do it, like these: https://a.co/d/02YXz6CJ You can then use a smart home app (HomeKit, Home Assistant, etc.) to sync the plug with a smart switch of some kind (so that when you flip your smart switch, the smart plug automatically turns on). You can also avoid all the smart devices by getting an electrician to hardwire a switched outlet in your room but that won’t be cheap.
