"A PC that drives 4k is going to be hot"
Are you that ignorant of current processor and GPU technology? I've been driving 2048x1536 (that would be 3K to you) on my desktop well over 15 years with Matrox. Qualcomm has Snapdragon, meant for MOBILE PHONES, driving 4K. For gaming, it ain't getting hot unless you do something STUPID like pick some power-hungry GPU. For video, even without acceleration from the GPU, a shit-tier i3 can handle 4K video. I was doing 1080p video on a Geforce 2 and Pentium 4 back when..... Naruto Shippuuden first came out and DB started doing 1080p encodes.