Sort-of, a Galaxy S8 in our family had solitaire (and the software buttons) burned into the pixels. Of course, they had the screen brightness to high/max and I think screen off time was very high, so it's definitely an edge case.
I know I'm overly paranoid about it, though. But also: OLED TVs don't have much persistent HUD/chromes compared to a PC taskbar, an FPS counter/overlay at the top corner, etc. It might also be a case of "burn-in isn't a concern if the panel is high quality enough", e.g.: iPhone OLED panels compared to $200 Android OLED phones.
"But also: OLED TVs don't have much persistent HUD/chromes compared to a PC taskbar, an FPS counter/overlay at the top corner, etc."
This is a good point too. The UI does hide itself and persistent elements (screen saver like) migrate/bounce around the screen.
Burn was a huge concern when these TVs were released. I assumed the threat was significantly less (across the class of screen) than originally thought.
It is, even "basic-quality" OLEDs nowadays are better than older panels, and TVs have a lot of burn-in mitigations like pixel shifting and the like. But that's also the kind of thing that I think would be more noticeable on a smaller screen, not to mention gaming's overall avoidance of display processing in general. (I wonder how much lag that would add, if at all?)
Then again the Switch OLED exists; but it uses a very specific 720p OLED panel by Samsung so maybe it's made to withstand all those problems. (Maybe someone can "mod" it into a Steam Deck?)
I know I'm overly paranoid about it, though. But also: OLED TVs don't have much persistent HUD/chromes compared to a PC taskbar, an FPS counter/overlay at the top corner, etc. It might also be a case of "burn-in isn't a concern if the panel is high quality enough", e.g.: iPhone OLED panels compared to $200 Android OLED phones.