Is this something I can integrate into my existing 4K UHDTV or 2K HDTV? (I have both kinds)
This is a complete system, not something that can be added to an existing setup.
Flipping around the internet, it seems OLED tv's are at risk of burn in. LCD's aren't as bad, but given a use case of a single image for months on end, it would most likely happen. The method to get around this is something that can schedule different content, with motion in the off hours, and to actually turn it off as well.
If the intent is to hide the tv, there are over screen mounts that would allow you to hang a framed photo to cover the tv, and give you that constant look.