Moonlight is great, but be careful about overestimating how fast video decoding is. I would get 10-40ms additional latency, jitter doing moonlight from tv, vs running it on Linux on my mini PC homelab hooked up to the TV, my decoding/network latency was like 1-2ms for a frame
Yes, of course, I wouldn't play a game that requires fast reactions over Moonlight, but 40ms won't ruin the experience for most games.