While most GPUs from the last decade will have the requisite processing power to display 4K video, they might not be able to output the required signal over HDMI.
For example if you only want 4k at 30fps (or 24fps for movies) with no HDR then HDMI v1.3 will be enough, that came out in 2006 and I would assume that most GPUs would have supported it within a year or two.
However if you want 4K with HDR then you will need HDMI v2.0a at minimum which released in 2015, and again it might have been a year or so afterwards before a majority of GPUs supported it.
Most PC monitors use displayport which has been consistently ahead of HDMI in terms of bandwidth so most PC users don't have to worry about such things, but majority of TVs lack displayport input. I myself had this issue in 2020, I wanted to update my PC to match my much-delayed TV upgrade to a 4k120 LG OLED, while a 2080Ti would have satisfied my requirements in terms of compute power, I had to get a 30 series to get HDMI v2.1 so I could even send a 4k120 4:4:4 signal over HDMI.
Yes you can get displayport to HDMI adapters but in my experience they are quite the crapshoot and you have to spend good money to make sure you get a quality one, and they introduce significant latency which was a deal-breaker for me but probably not an issue if its for video watching only and no gaming.
Just some things to bear in mind.
