That's Ghosting, not burn-in; Burn-in is a condition caused by wear on the LCD crystals in which the crystals can no longer return completely to their original points, being stuck at a point somewhere in between; sometimes it is only temporary and the crystals are just stuck (left on for days in a row, but not over thousands of hours), sometimes special reconditioning programs built into the screens can restore some functionality (not sure how, maybe overvolting to overcome blockages?), but often it is the screen reaching the end of it's useful operational hours and indicates needing replacement.
Ghosting, on the other hand, can happen at any time; every screen requires a set amount of time for the crystals to change state, and faster changes require faster responses. When it cannot respond fast enough, you see trailing images like a comet as the crystal is still changing state while the frame has already moved on (it is where the common symptom of fast action sports games with the ball and action jumping around the screen and the bright images leaving a trail originates from).
When a screen gets colder, the ghosting increases (the "liquid" in the crystal has trouble changing states when frozen, just like beer); this is true of all LCD screens, and you can easily see this by leaving your phone in the fridge overnight. The vehicle is no different, and until the screen warms up, you will see ghosting. There is nothing the dealer can do to change this; the less change in the image, the less you will see this.
After your vehicle has been running and the screen has had a chance to warm up (say, 15 minutes), does the ghosting go away, or is it still apparent?
On a side note, I have seen the same issue appear very severely at gas stations with the built-in screens when the temperature is well below freezing in winter.
