I was going to go this route, but with all the GPU's sitting around in data centers now, you can get Steam cloud gaming for stupid cheap. I pay $10/month for 4k@120Hz (up to 80mbps video bitrate, they're experimenting with HDR), with my MacBook connected to my TV. It would take 12 years of subscriptions to equal the price of a PC, which is realistically more like 20 since I pause the subscription for months that I don't play. And, if I want to play some multiplayer game with a family member, I just add another subscription for $10, we play the game until they're done, then cancel.
I'll probably pick up a PC at some point, but this has been completely fine.