If burn-in is a serious threat to the usable lifetime of the display, I wonder whether the laptop could be configured to display a continuously varying image in an attempt to save the screen.
Then you can adapt to the fatigue by brightening the pixels with most wear. You can also display an inverse image to even out the wear.
I have vague memories of an application that did this. Guess it was in the plasma days.
Though this is something that could be done in hardware, judging from this clip https://www.youtube.com/watch?v=nOcLasaRCzY it must already be done on TVs since letterboxing didn't create any artifacts. But it doesn't seem to be done on a per pixel basis. Not sure why that would be that much more difficult.
The monitor does not have that capability - if it did, it would be able to compensate for burn-in exactly. You would need to do weird things like point a camera at the monitor and have it diagnose and re-calibrate itself, but this would not be anywhere near exact so you'd still have quite a bit of noise. And everything you do to try and "solve" burn-in, other than turning the screen off, just adds even more burn-in!
I hope I get a chance to take a poke at it before too many patents are filed.